True, I have a few family members, male and female, who divorced once, twice, or some three times back home and re-married without a hitch. It was fairly unstigmatized.
The only thing you're wrong about is that men would leave their children. No, if the woman divorces the man or the man divorces her, either way, the man typically took the kids to be raised by his people, especially if it was different tribes. That was one incentive to stay in a troubled marriage for some women unless they were able to work something out.
My mother was my dad's third wife. Not at the same time, tho, he had two failed marriages before her.