The Prophet salla Allahu alaihi wa sallam gave the custody of the children to their mother until she remarries!

Kids: boy 2yr and girl 4 yr old shall be given to divorced father or divorced mother??? …Please note father of the mother to be is having very bad record like alcohol drinker and falling in road drains and many more….

Custody | October 21, 2015 7:54 pm
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A father is asking me about marriage to her daughter, but she has 2 kids. If she re-marries, do her children go/live with their real father?
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When a man and a woman who are married divorce and they have a child, the man must pay for the child and is responsible for it , right? but what if the man wants to move to another country together with his child and the mother doesn’t want to give the child to him, is it permissible then to negotiate that the woman pays for everything alone and both agree so that the father doesn’t have to pay anything? (it was even the mother’s idea)