Is the wife entitled to demand housing in her husband's home where his divorced wife and their children reside, especially given her suffering from difficult living conditions and her husband's debts, and can the court compel the divorced wife to move to an annex of the house or divide it as an inheritance?

It is the right of the wife upon her husband that he provide her with a suitable, independent dwelling, to the best of his ability. It is not permissible for a woman to reside in a house where facilities are shared with non-mahram men. The maintenance and housing for a child in custody are incumbent upon whoever is responsible for the child's maintenance. The father may be obliged to pay the rent for the custodian's dwelling if she does not have one, and the custodian's dwelling must be independent of the child's father's dwelling, because he is a non-mahram to her. It is permissible for a husband, his divorced wife, and their children to live in the same house if it is divided in such a way that there is no mixing between the husband and his divorced wife.