This is such a profound question! Yes, the question of HOW is futile because the ways of God are so much higher than the ways of men. However, theology seeks to explain the claims of faith in an intellectually satisfying manner.
The dogma on the Person of Christ as stated at the Council of Chalcedon (451 A.D.) is that the Second Person of the Blessed Trinity, God the Son, who exists without a beginning, in a profound act of obedience and humility for “us men and for our salvation”, became incarnate, and assumed a full human nature without losing one snipit of his divinity. Thus, he is true God and true man, like us in all things but sin. Therefore, Jesus Christ is a Divine Person (2nd Person of the Blessed Trinity) who has assumed a full human nature. Therefore, 1 person and 2 natures (divine and human). These natures are unconfused and unmixed, yet at the same time undivided and inseparable. Hence, at Mass, when the priest (at the Offertory) mixes the wine with a little bit of water, he says “By mystery of this water and wine, may we come to share in the divinity of Christ who humbled himself to share in our humanity.” The wine symbolozes the divinity, and the water symbolizes the humanity. They come together to become one drink which, a few minutes later, is transubstantiated into Jesus Christ.
As the Easter Vigil’s Exsultet proclaims, “Father, how wonderful your care for us! How boundless your merciful love! To ransom a slave, you gave away your Son.”
This is a sublime mystery. It means that to ransom us from our slavery to sin and death, the Father sent his Son, and his Son obeyed, becoming a helpless little baby who cried, pooped, and burped. Still more, that baby grew up, became a peasant preacher to teach us how to live, and eventually died a horrible death on a cross. Yet, even still more, we Catholics believe that he, though risen and exalted in glory, comes to us under the mere appearances of bread and wine, completely vulnerable to the hands of human beings. What sublime humility! Let us thank God for this inestimable treasure!