Still, some women do find another man, even with children from the first marriage. They can send the younger kids to live with the ex husband and forget about it.
People cope with life. I know one woman, she seems pretty happy with the second, and doesn't plan to have more kids with him. She's 39 years old now, with a 15 year old daughter and a 9 year old son. Son lives with ex. I had a friend before, she sent the two sons to live with the ex and date many others. She doesn't even want to marry again. That's a different type. The major thing to her is the big something from the guy.
If there's no children, the prior marriage can be totally wiped out. Who cares if anyone is married again, second or third time? Americans don't care. Make sure there's a prenup if there's money and property issues.