Work at it or let it die?

I recently got a divorce. My ex and I were fighting lots and there was cheating on both sides during the separation, which we later confessed to eachother. He said we should get together after the divorce and I thought that sounded weird but thought hey it may work. Divorce over and we still are hanging out and talking frequently and sleeping together, like nothing has changed. I know we love eachother alot and both were idiots for hooking up with other people. He's saying how we should get back together. We have a history of eight yrs together. I still think about his hook up and it hurts and I'm sure my hook up hurts him too. Should cut the chord or work this one out? How do I know we could repair this or is it repairable? I spent all my twenties with him and am thirty now. How do I know we could work this out effectively and not repeat bad patterns. I felt like he coulda been more supportive before the split since we fought all the time and he says the same. The gr was definitely not greener for both of us, we learned. But should we take another stab or just cut off contact?