This is a very difficult question to answer to a literal mind. The Eucharist is a mystery. The body of Christ is known by those within the phronema (mind) of the Church. In this place there is no dialectical conflict between the one and the many. Ultimately the energies of God may be given to a believer. This is known as Theosis–to be blessed by the uncreated Light.
"For neither is a mere place able to be a called the Church, nor a house which is built with stone and clay, nor a man himself able to call himself the Church. For a house is destroyed and a man dies. And so, what is the Church? The community of Saints participating in truth."
~Hippolytus Commentary on Daniel 1.18.5-6