This is surely the perfect way to break up with anyone

Sometimes communication just isn't enough though. It still hurts

You take for granted there are no children. Totally breaking with someone with whom you have children could be possible and perhaps advisable in certain circumstances of abuse etc, but, for the sake of the children, not in general. Actually, having children together is one of the strongest bonds that exists; it cannot be dissolved. You can ignore each other, only one parent can have the custody, whatever, but you still have the children together and that's a fact that can never be changed.