Janine gives good advice. So does Admin! I highly recommend calling Family Dynamics. I've known a number of people who have used them (including my daughter and her husband) and it has helped to start the rebuilding process and bring forgiveness INSIDE the marriage for many couples where things looked really bad before attending. I really hope you and your wife will try harder and not just give up on the marriage.
Now, my opinion on your situation is as follows (then I will answer your original question)!
Are you going to seek the divorce or is your wife -- and why (the real reason)? What you have stated so far is not a good reason for even considering a divorce, IMO, especially since children are involved. The way you come across is that it is your wife who is going to divorce you and you seem very resigned and ambivilant to this divorce. That is a defeatist attitude, not to mention a wallowing in self pity attitude, and as long as you allow yourself to have those attitudes, then the chances of a divorce are, IMO, about 99%. It is almost like you want it to happen but could care less about giving the marriage the full attention it really needs to reverse the direction and grow strong again. I'm curious, are you by any chance a high school or college coach since you chose the name COACH C? I have known several coaches who went through tough times (and divorce) in their marriage because of the time committment to the job. If that is a big part of the problem, and you know it is a problem, then maybe the job needs to go by the wayside, at least for a while, and you and your wife work on the marriage. If your job is more important than the marriage, then you have your priorities screwed up!
I have been married for 32 years. It has not been the smoothest marriage at times but thank God we have worked through the past problems and continue to work through the problems as they come up. I have worked shift work in nuclear security for 23+ years and believe me, shift work in the nuclear industry has caused more divorces than I count. The divorce rate in nuclear shift workers is mind boggling! Right now, I work evening shift and my wife works day shift. We see each other for just a few minutes in the morning if I cut my sleep time to about 4.5 hours a night. It takes real work and an agressive attitude towards making it work to keep a marriage going, along with an attitude that divorce just is not the answer to the problem. What I am trying to point out is that, based on the information you have supplied so far, you and your wife are NOT giving the marriage the effort that both of you need to give to it before considering divorce court. And yes, you also owe it to your kids to make the total commitment to making it work!
Now, one last comment, the answer to your main question.
Does God forgive divorce? IMO, yes he does --- on both sides regardless of the cause--even though he hates divorce!. If there was no forgiveness for divorce, then we are all doomed because there is no forgiveness for any sins. Sin is sin. Big or little, it is sin. So if divorce is unforgivable and you are doomed to Hell because of the divorce, then there is no forgiveness for any sin, IMO. However, keep in mind that when we stand before him (and everyone who ever lived will), even though we have been forgiven for the sin we committed (divorce--whatever---big or little sin), I believe we will also be shown the consequences of our sin on others and, while forgiven for the sin, I believe we will not like what we are shown that the sin we committed caused in others--especially our children. I think that will be a really heart wrenching time while coming to the realization of how much damage our sin did to our children and others while we never realized it because we were so wrapped up in ourselves.