Divorce is about people not wanting to live and share their life together, it is a union where both parties should benefit (why else go into such an agreement).
In many cases after a divorce the man does not get to see his children due to the women getting more money the less the man take care of the children. This is really bad for the children, research show that children do a lot worse the less they have contact with both parents.
In the modern western society (Europe/USA) the men get the worst deal and this show in almost every respect (93% men in prisons, double the amount of drug users, single custody (80/20). Women also live longer, die less often of work relegated injuries. In general women gets taken care of by society to a greater extent than men.
I don't know where you live but that's not how it works most places. I know lots of divorced people. They don't live together any more. The woman gets full custody of the kids for all the reasons I mentioned above, but again, it's more about what the kids want. Even if they choose to live with their mother the father does get to see his kids. But he can't continue living with his ex, and they both live busy lives and have other relationships, so he can't just drop in to see the kids whenever he likes. Which is why they decide on a schedule. That's how it works with almost every divorced couple I know.
