Just take Mary by the hand (thus the Hail Mary's) and meditate on the life of Jesus. :)

The Rosary (from Latin rosarium, "rose garden") is divided into five decades. Each decade represents a mystery or event in the life of Jesus. There are four sets of "Mysteries of the Rosary" (Joyful, Luminous, Sorrowful, and Glorious ). These four "Mysteries of the Rosary" therefore contain, a total of twenty mysteries. The Joyful, Luminous, Sorrowful, and Glorious Mysteries are then said on specific days of the week (see each set of mysteries below) . During private recitation of the Rosary, each decade requires devout meditation on a specific mystery. Public recitation of the Rosary (two or more people) , requires a leader to announce each of the mysteries before the decade, and start each prayer.
The Apostle's Creed is said on the Crucifix; the Our Father is said on each of the Large Beads; the Hail Mary is said on each of the Small Beads; the Glory Be after the three Hail Mary's at the beginning of the Rosary, and after each decade of Small Beads - You may also want to add the Fátima Invocation.
The Rosary
The word rosary comes from Latin and means a garland of roses, the rose being one of the flowers used to symbolize the Virgin Mary. If you were to ask what object is most emblematic of Catholics, people would probably say, "The rosary, of course." We're familiar with the images: the silently moving lips of the old woman fingering her beads; the oversized rosary hanging from the waist of the wimpled nun; more recently, the merely decorative rosary hanging from the rearview mirror.[like the wood rosary hanging across my corner of my bedhead.]
After Vatican II the rosary fell into relative disuse. The same is true for Marian devotions as a whole. But in recent years the rosary has made a comeback, and not just among Catholics. Many Protestants now say the rosary, recognizing it as a truly biblical form of prayer—after all, the prayers that comprise it come mainly from the Bible.
The rosary is a devotion in honor of the Virgin Mary. It consists of a set number of specific prayers. First are the introductory prayers: one Apostles' Creed (Credo), one Our Father (the Pater Noster or the Lord's Prayer), three Hail Mary's ( Ave's), one Glory Be (Gloria Patri).
The Apostles' Creed
The Apostles' Creed is so called not because it was composed by the apostles themselves, but because it expresses their teachings. The original form of the creed came into use around A.D. 125, and the present form dates from the 400s. It reads this way:
"I believe in God, the Father Almighty, Creator of heaven and earth, and in Jesus Christ, his only Son, our Lord, who was conceived by the Holy Spirit, born of the Virgin Mary, suffered under Pontius Pilate, was crucified, died, and was buried. He descended into hell. The third day he arose again from the dead. He ascended into heaven and is seated at the right hand of the Father. From thence he shall come to judge the living and the dead. I believe in the Holy Spirit, the holy Catholic Church, the communion of saints, the forgiveness of sins, the resurrection of the body, and the life everlasting. Amen."
Traditional Protestants are able to recite the Apostles' Creed without qualms, meaning every line of it, though to some lines they must give meanings different from those given by Catholics, who composed the creed. For instance, we refer to "the holy Catholic Church," meaning a particular, identifiable Church on earth. Protestants typically re-interpret this to refer to an "invisible church" consisting of all "true believers" in Jesus.
Protestants, when they say the prayer, refer to the (lower-cased) "holy catholic church," using "catholic" merely in the sense of "universal," not implying any connection with the (upper-case) Catholic Church, which is based in Rome. (This is despite the fact that the term "Catholic" was already used to refer to a particular, visible Church by the second century and had already lost its broader meaning of "universal").
Despite these differences Protestants embrace the Apostles' Creed without reluctance, seeing it as embodying basic Christian truths as they understand them.
The Lord's Prayer
The next prayer in the rosary—Our Father or the Pater Noster (from its opening words in Latin), also known as the Lord's Prayer—is even more acceptable to Protestants because Jesus himself taught it to his disciples.
It is given in the Bible in two slightly different versions (Matt. 6:9-13; Luke 11:2-4). The one given in Matthew is the one we say. (We won't reproduce it here. All Christians should have it memorized.)
The Hail Mary
The next prayer in the rosary, and the prayer which is really at the center of the devotion, is the Hail Mary. Since the Hail Mary is a prayer to Mary, many Protestants assume it's unbiblical. Quite the contrary, actually. Let's look at it.
The prayer begins, "Hail Mary, full of grace, the Lord is with thee." This is nothing other than the greeting the angel Gabriel gave Mary in Luke 1:28 (Confraternity Version ). The next part reads this way:
"Blessed art thou among women, and blessed is the fruit of thy womb, Jesus." This was exactly what Mary's cousin Elizabeth said to her in Luke 1:42. The only thing that has been added to these two verses are the names "Jesus" and "Mary," to make clear who is being referred to. So the first part of the Hail Mary is entirely biblical.
The second part of the Hail Mary is not taken straight from Scripture, but it is entirely biblical in the thoughts it expresses. It reads:
"Holy Mary, Mother of God, pray for us sinners, now and at the hour of our death. Amen."
Let's look at the first words. Some Protestants do object to saying "Holy Mary" because they claim Mary was a sinner like the rest of us. But Mary was a Christian (the first Christian, actually, the first to accept Jesus; cf. Luke 1:45 ), and the Bible describes Christians in general as holy. In fact, they are called saints, which means "holy ones" (Eph. 1:1, Phil. 1:1, Col. 1:2). Furthermore, as the mother of Jesus Christ, the Incarnate Second Person of the Blessed Trinity, Mary was certainly a very holy woman.
Some Protestants object to the title "Mother of God," but suffice it to say that the title doesn't mean Mary is older than God; it means the person who was born of her was a divine person , not a human person. (Jesus is one person, the divine, but has two natures, the divine and the human; it is incorrect to say he is a human person.) The denial that Mary had God in her womb is a heresy known as Nestorianism (which claims that Jesus was two persons, one divine and one human), which has been condemned since the early 400s and which the Reformers and Protestant Bible scholars have always rejected.
Another Mediator?
The most problematic line for non-Catholics is usually the last: "pray for us sinners now and at the hour of our death." Many non-Catholics think such a request denies the teaching of 1 Timothy 2:5: " For there is one God, and there is one mediator between God and men, the man Christ Jesus." But in the preceding four verses (1 Tim. 2:1-4), Paul instructs Christians to pray for each other, meaning it cannot interfere with Christ's mediatorship: " I urge that prayers, supplications, petitions, and thanksgivings be made for everyone. . . . This is good, and pleasing to God our Savior."
We know this exhortation to pray for others applies to the saints in heaven who, as Revelation 5:8 reveals, intercede for us by offering our prayers to God: " The twenty-four elders fell down before the Lamb, each holding a harp, and with golden bowls full of incense, which are the prayers of the saints.
The Glory Be
The fourth prayer found in the rosary is the Glory Be, sometimes called the Gloria or Gloria Patri. The last two names are taken from the opening words of the Latin version of the prayer, which in English reads:
"Glory be to the Father, and to the Son, and to the Holy Spirit. As it was in the beginning, is now, and ever shall be, world without end. Amen." The Gloria is a brief hymn of praise in which all Christians can join. It has been used since the fourth century (though its present form is from the seventh) and traditionally has been recited at the end of each Psalm in the Divine Office.
[The Fátima Invocation:
Prayer recommended by the Blessed Virgin to the children at Fátima (1917), to be recited by the faithful. It is often said between the decades of the Rosary and reads: "O my Jesus, forgive us our sins. Save us from the fires of hell, and bring all souls to heaven, especially those who most need your mercy." ]
The Closing Prayer
We've covered the opening prayers of the rosary. In fact, we've covered all the prayers of the rosary except the very last one, which is usually the Hail Queen (Salve Regina), sometimes called the Hail Holy Queen. It's the most commonly recited prayer in praise of Mary, after the Hail Mary itself, and was composed at the end of the eleventh century. It generally reads like this (there are several variants):
"Hail holy Queen, Mother of mercy, our life, our sweetness, and our hope! To thee do we cry, poor banished children of Eve. To thee do we send up our sighs, mourning and weeping in this vale of tears. Turn, then, most gracious advocate, thine eyes of mercy toward us, and after this our exile show unto us the blessed fruit of thy womb, Jesus. O clement, O loving, O sweet Virgin Mary."
So those are the prayers of the rosary. Between the introductory prayers and the concluding prayer is the meat of the rosary: the decades. Each decade—there are fifteen in a full rosary (which takes about forty-five minutes to say)—is composed of ten Hail Marys. Each decade is bracketed between an Our Father and a Glory Be, so each decade actually has twelve prayers.
Each decade is devoted to a mystery regarding the life of Jesus or his mother. Here the word mystery refers to a truth of the faith, not to something incomprehensible, as in the line, "It's a mystery to me!" The fifteen mysteries are divided into three groups of five: the Joyful, the Sorrowful, the Glorious. When people speak of "saying the rosary" they usually mean saying any set of five (which takes about fifteen minutes) rather than the recitation of all fifteen mysteries. Let's look at the mysteries.
Meditation, the Key
First we must understand that they are meditations. When Catholics recite the twelve prayers that form a decade of the rosary, they meditate on the mystery associated with that decade. If they merely recite the prayers, whether vocally or silently, they're missing the essence of the rosary. It isn't just a recitation of prayers, but a meditation on the grace of God. Critics, not knowing about the meditation part, imagine the rosary must be boring, uselessly repetitious, meaningless, and their criticism carries weight if you reduce the rosary to a formula. Christ forbade meaningless repetition (Matt. 6:7), but the Bible itself prescribes some prayers that involve repetition. Look at Psalms 136, which is a litany (a prayer with a recurring refrain) meant to be sung in the Jewish Temple. In the psalm the refrain is "His mercy endures forever." Sometimes in Psalms 136 the refrain starts before a sentence is finished, meaning it is more repetitious than the rosary, though this prayer was written directly under the inspiration of God.
It is the meditation on the mysteries that gives the rosary its staying power.
The Joyful Mysteries are these:
the Annunciation (Luke 1:26-38) Fruit of the Mystery: Humble/Humility ,
the Visitation (Luke 1:40-56) Fruit of the Mystery: Love of Neighbor ,
the Nativity (Luke 2:6-20) Fruit of the Mystery: Poverty/poor in spirit ,
the Presentation of Jesus in the Temple (Luke 2:21-39) Fruit of the Mystery: Obedience ,
the Finding of the child Jesus in the Temple (Luke 2:41-51) Fruit of the Mystery: Joy in Finding Jesus or Zeal .
Then come the Sorrowful Mysteries:
the Agony in the Garden (Matt. 26:36-46) Fruit of the Mystery: Sorrow for Sin
the Scourging (Matt. 27:26) Fruit of the Mystery: Purity
the Crowning with Thorns (Matt. 27:29) Fruit of the Mystery: Courage ,
the Carrying of the Cross (John 19:17) Fruit of the Mystery: Patience ,
the Crucifixion (Luke 23:33-46) Fruit of the Mystery: Perseverance .
The Glorious Mysteries are:
the Resurrection (Luke 24:1-12) Fruit of the Mystery: Faith ,
the Ascension (Luke 24:50-51) Fruit of the Mystery: Hope ,
the Descent of the Holy Spirit (Acts 2:1-4) Fruit of the Mystery: Love of God
the Assumption of Mary into heaven (Rev. 12) Fruit of the Mystery: Grace of a Happy Death ,
and her Coronation (cf. Rev. 12:1) Fruit of the Mystery: Trust in Mary's Intercession .
With the exception of the last two (of the Glorious Mysteries), each mystery is explicitly scriptural. True, the Assumption and Coronation of Mary are not explicitly stated in the Bible, but they are not contrary to it, so there is no reason to reject them out of hand. Given the scriptural basis of most of the mysteries, it's little wonder that many Protestants, once they understand the meditations that are the essence of the rosary, happily take it up as a devotion. We've looked at the prayers found in the rosary and the mysteries around which it is formed. Now let's see how it was formed historically.
[Pope John Paul II (in Oct 2002) added to the rosary the Luminous Mysteries as follows
The Baptism of Jesus in the River Jordan Matthew 3:17 Fruit of the Mystery: Openness to the Holy Spirit
The Wedding at Cana, Christ Manifested John 2:11 Fruit of the Mystery: To Jesus through Mary
The Proclamation of the Kingdom of God Mark 1:15 Fruit of the Mystery: Repentance and Trust in God
The Transfiguration of Jesus Matthew 17:2 Fruit of the Mystery: Desire for Holiness
The Last Supper, the Holy Eucharist Matthew 26:26 Fruit of the Mystery: Adoration ]
The Secret of Paternoster Row
It's commonly said that St. Dominic, the founder of the Order of Preachers (the Dominicans), instituted the rosary. Not so. Certain parts of the rosary predated Dominic; others arose only after his death.
Centuries before Dominic, monks had begun to recite all 150 psalms on a regular basis. As time went on, it was felt that the lay brothers, known as the conversi, should have some form of prayer of their own. They were distinct from the choir monks, and a chief distinction was that they were illiterate. Since they couldn't read the psalms, they couldn't recite them with the monks. They needed an easily remembered prayer.
The prayer first chosen was the Our Father, and, depending on circumstances, it was said either fifty or a hundred times. These conversi used rosaries to keep count, and the rosaries were known then as Paternosters ("Our Fathers").
In England there arose a craftsmen's guild of some importance, the members of which made these rosaries. In London you can find a street, named Paternoster Row, which preserves the memory of the area where these craftsmen worked.
The rosaries that originally were used to count Our Fathers came to be used, during the twelfth century, to count Hail Marys—or, more properly, the first half of what we now call the Hail Mary. (The second half was added some time later.)
Both Catholics and non-Catholics, as they learn more about the rosary and make more frequent use of it, come to see how its meditations bring to mind the sweet fragrance not only of the Mother of God, but of Christ himself.
I usually pray the rosary with a little book "Meditating On The Biblical Mysteries" (a full page for each of the mysteries, with the biblical verses, petitions and meditations) - I've found this on the net, not from my book, only as an example:
The Sorrowful Mysteries
(Said on Tuesdays, Fridays, and daily from Ash Wednesday until Easter Sunday)
First Sorrowful Mystery - Agony of Jesus in the Garden
I Desire True Repentance for My Sins
Think of...
Our Lord Jesus in the garden of Gethsemani, suffering a bitter agony for our sins.
Matthew 26:36
Second Sorrowful Mystery - Jesus is Scourged at the Pillar
I Desire a Spirit of Mortification
Think of...
The cruel scourging at the pillar that our Lord suffered; the heavy blows that tore His flesh.
Matthew 27:26
Third Sorrowful Mystery - Jesus is Crowned With Thorns
I Desire Moral Courage.
Think of...
The crown of sharp thorns that was forced upon our Lord's Head and the patience with which He endured the pain for our sins.
Matthew 27:27
Fourth Sorrowful Mystery - Jesus Carries His Cross
I Desire the Virtue of Patience
Think of...
The heavy Cross, so willingly carried by our Lord, and ask Him to help you to carry your crosses without complaint.
Matthew 27:32
Fifth Sorrowful Mystery - The Crucifixion of Jesus
I Desire the Grace of Final Perseverance
Think of...
The love which filled Christ's Sacred Heart during His three hours' agony on the Cross, and ask Him to be with you at the hour of death.
Matthew 27:33
I hope this has helped to understanding this beautiful and meaningful Catholic devotion. :)