Its always best to be civil when breakups happen ..

It took me about 6 months to be able to feeling ok being around my ex with out feeling distraught that our marriage ended and he cheated etc I just felt like a raw nerve .. I had to let go of the love that I once had for him.. Then we were able to have a friendship of sorts. But it took time..
I saw him alot he was always around picking our daughter ,, But I did not get into going out for dinner with him and her or having one birthday party .. No thanks . Amanda had 2 birthday parties , 2 Christmas's ... We both were there for her high school graduation and will be if she get married one day..
Theres no right or wrong way to process a break up .. Just make sure your emotional well being is looked after.