Is it permissible to give zakat to a poor divorced woman who has no provider, and whose children live with her ex-husband, the zakat payer?

A husband is not permitted to give Zakat to his wife if she is undergoing a revocable divorce (raj'iyyah) or an irrevocable divorce (ba'in) and is pregnant, because her maintenance is obligatory upon him. It is permissible to give her Zakat if she has been irrevocably divorced (with three pronouncements or through khul'), is not pregnant, and is eligible to receive Zakat. However, if she is wealthy due to relatives who provide for her, it is not permissible to give her Zakat.