husband cheated while very drunk

Hello everyone, My husband had a one night stand with an ex girlfriend (well she was not really a girlfriend, more like a friend with benefits) at a party. I was there at the party too and we were sleeping over. I went to sleep before my husband did and this woman came on to my husband by telling him she wasn't happy in her marriage. They were both very drunk (husband was wasted). They hugged and started kissing. They also at some point were on the couch with her on top of him (he invited her over to the couch) and he put his hand down her pants until someone walked in on them. I know all of this because he told me the following day. I was in complete shock, I never ever imagined he would do this. He feels horrible about it and is scared of losing me. We've been married 10 years. He cut off contact with her (i saw him send her the text) and she agreed they should not be in contact. We are in our mid 30's and do not have children so I don't know if I should divorce him and find som eone more responsible and respectful of our marriage or work through it. Any advice?

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