It's hard to know the answer to your question. It may be that reconciliation is passing through his mind, and he wants to get on your good side just in case he decides he does want to stop the divorce.... or it may be he just wants the D to go smoothly and he wants to be friends so you don't "take him to the cleaners."
My only advice is that as long as that D is in motion, you continue to GAL and emotionally protect yourself. Don't tell your H about your own personal life. Go out looking great and don't give him information about what you are doing. Be a little mysterious.
As long as you can emotionally protect yourself, continue to try and build the friendship up with him, flirt a little, be friendly and happy. But be busy because "as a divorced woman" you will need to create a life for yourself.
One thing that might be helpful to keep in mind is that most men are captivated by "the chase" and if you make this too easy he won't feel like he needs to convince you to take him back. Make him work a little if that's where this is going. Does that make sense?
There is no arriving, ever. It is all a continual becoming.
