On the Eucharist and Human Digestion? My Question: Does the real presence of the Eucharist persist even after digestion to the point of being taken out of the body by defecation?

Yes this is a serious question. In case the answer is no, where does the real presence go then? Is it integrated into our bodies like vitamins? 
I realize that Jesus is present Body, Blood, Soul and Divinity. I understand that there are spiritual advantages to taking the Eucharist, but what I would like to now understand is also how those advantages are communicated to us when we eat Christ. The process.
When the host is digested and it no longer has the appearance of bread, it is no longer the body of Christ. The Lord is only present as long as the appearance of bread is present.


  The sacramental body of Jesus remains with us for about 15 minutes,
  until the external species are digested. But that does not mean Jesus
  leaves us when the species are digested. He remains with us but not
  sacramentally. Fr. Bob levis  EWTN


Another quote:


  They are only there in order to point out "Here is Christ!" So, when
  we see what would commonly be called bread or bread crumbs, the
  visible signs tells us "Here is Christ". When we can no longer say
  this is bread or this is bread crumbs, then, that is no longer true.
  Source


From Fr. Ripperger:


  it teaches man that things of the senses are there for us to come to
  knowledge of spiritual realities when we see the accidents of the
  bread by the supernatural virtue of faith we know that God is present.
  This helps man to direct his life of the senses to God by looking
  beyond the life of the senses to something deeper. On another level God
  knows that man has a natural desire for physical closeness to things
  which he loves and this is due to the nature of his body soul
  composite. This is why it is not enough for someone to merely hear the
  beloved's voice but he actually wants to see and to touch the beloved. - 
  source