I would like to know that if after two Jews are divorced what is the relationship with G-d and their relationship. It is said that G-d is part of a marriage and continues to be. If the couple gets divorced, where does G-d stand in this relationship now? I know what happens when the relationship is broken up through illegal acts such as adultery, but what happens when it is mutual and done according to G-d's law?
Sorry to hear about a difficult situation; hello and welcome to J.SE.
The Gemara speaks about the presence of God dwelling between a married couple. A Get ends a marriage. At that point, as sabbahillel commented, God is present the same way as between any two individuals; the relationship is no longer a marital one.
I recognize that some couples who've gone through a Get stay on friendly terms, and in other cases it can be quite vitriolic.
In some tragic cases, a Get is really the best (or least-bad) solution for everyone involved, which is why the Torah clearly allowed for divorce. No one should ever feel guilty (or be made to feel guilty) about what happens to the Divine Presence in that situation.