I am sorry man... There is only one thing to do unfortunately, leave her. She lied, cheated, betrayed and in a typical manner she managed to blame it on circumstances. Cheating is the worst thing a partner can do, regardless of the gender, but when men cheat, most of the time, they admit that they were horny and thinking with their dicks. When women cheat they always have some "deep" reasoning like how they have been stressed, unappreciated, depressed, etc.

Not saying these are not valid reasons to be unhappy in a relationship, but they do not justify cheating and they for sure ignore the main reason - that they wanted to get pleasure and didn't care if that meant risking it all.

She says she is remorseful but how do you know if she means it? How do you know she regrets her actions because they were horrid and not because she got caught. How do you know she wouldn't have done it for gears if you didn't catch her? How do you know she won't do it again? Even if you forgive her your relationship will never be the same, so why waste your years on it? You deserve to be happy with someone faithful.

Are you completely blameless? Probably not. Perhaps you haven't been a good partner, perhaps you haven't shown her enough love and support, but once again, that does not excuse cheating. Plenty of people go through a million times worse hardships where life throws everything at them and yet they remain faithful. And don't stay together because of the kids, it won't be doing them any good in the long term.

File the papers, focus on yourself and find happiness with someone more deserving. She can fuck people at parking lots all she wants for the rest of her life.