First, plenty of marriages are loveless. So what you're doing isn't completely out of the ordinary, except for you actually got the divorce.
Would you ever re-marry her?
You mentioned she didn't wear protection. What else do you know about the affair? Were they friends, co-workers, etc? How long was she cheating? Just one guy?
Good luck. I'd do everything I could for the sake of my kids too. I just don't know what would be the best. If I ever left, I'd probably only get weekends based on friends I've seen go through it. I'd rather see my kids all the time and put up with a bad wife.
They work on different floors of the same building. She had 3 liasons with him, I found out on the 3rd one.
There's too much backstory to fit in a couple of posts.
We have long had trust issues, and
she has a history of promiscuity. But this is the first time I believe that she cheated on me since we were married (8 years, living together 10)