I’ve already thoroughly addressed this topic in past posts: See this search of my blog. Please read those posts for my full position on this topic.
The divorced and remarried are in various different situations. They are not all the same, and should not all be treated the same.
In the worst case scenario, where the second union is not a valid marriage and the couple are having sexual relations, this objective mortal sin should prevent them from receiving holy Communion.
However, the Church has the authority to permit anyone who is not conscious of actual mortal sin, not merely objective mortal sin, to receive Communion. And She also has the authority to permit persons who are conscious of actual mortal sin to repent with perfect contrition, receive Communion, and confess at a later time.
Hypocrisy! The vast majority of Mass-going Communion-receiving Catholics today are guilty and unrepentant of objective mortal sins, especially: adhering to heresy, using contraception, and committing sexual sins (unnatural sexual acts in marriage, any sexual acts outside of marriage, masturbation, pornography, etc.). It is utter hypocrisy to loudly proclaim that the divorced and remarried must never be permitted to receive Communion, due to their sexual sins (sex despite not having a valid second marriage), while remaining silent on the much more common cases of reception of Communion while unrepentant from other sexual sins.
Some of the persons who loudly protest that the divorced and remarried are being permitted to receive Communion in some cases, these same protestors are guilty of teaching heresy publicly in blogs, discussion groups, articles, and the like. They themselves are not worthy to receive Communion, since teaching heresy is a grave sin. But they arrogantly think themselves fit to decide who may receive the Sacrament that should be denied even to them.
Pope Francis holds the keys. He has the authority to decide the discipline of reception of Communion. The faithful may disagree, because such a decision is not a teaching, but a prudential judgment. But that disagreement should not be stated with arrogance or denigration or any type of disrespect at all toward the office or person of the Roman Pontiff.
As I’ve said many times now, my preference is for a strict discipline on reception of Communion: only believing and practicing Catholics, free from every objective mortal sin and actual mortal sin, who have been to Confession within the last 3 or 4 months, should be permitted to receive. But each Roman Pontiff has the authority to choose the discipline for reception of Communion, whether loose or strict. The only indispensable doctrinal requirements are that the person be baptized and in a state of grace.
Please take a look at this list of my books and booklets, and see if any topic interests you.