While the exes did not have a prenuptial agreement, Gavin, 49, has agreed to take less than his 50 percent share of the couple's assets, according to the source.
Gavin and Gwen announced their split in August, saying in a statement to ET, "While the two of us have come to the mutual decision that we will no longer be partners in marriage, we remain partners in parenthood and are committed to jointly raising our three sons in a happy and healthy environment."
In September, Gwen told ET that one of the most important parts of getting through this difficult time is " living in the moment," adding, "Because if you can just do that and sit there and be grateful, for even the bad things or the good things, then you'll have peace."
"I've been so blessed with such an incredible, extraordinary life," the singer continued. "From the very beginning of time just in my own family and then continuing on to be able to make music. It gives everyone so much pleasure and to be able to write it and express myself and to be able to capture my feelings and then share that with people is just really priceless."
Last week, Gwen debuted her heartbreaking new single, "Used to Love You," to a New York City crowd, featuring lyrics like "I guess nobody taught you how to love," and, "You go, I’ll stay, you can keep all the memories," that really feel as though they are commentary on the 46-year-old's former marriage.