Is it permissible to give Zakat al-Fitr to the wife's mother who resides in the Netherlands, does not have compensation or residency papers, and lives with her divorced daughter who provides for all her expenses?

The basic ruling is that it is permissible to give Zakat al-Fitr to the mother of one's wife, because she is not among those whose maintenance is obligatory upon her daughter's husband. However, if she has someone who provides for her sufficiently, then it is not permissible to give her Zakat, due to the absence of the characteristics of poverty and need.