Stepparents have little judicial rights when it comes to the custody of their non-biological children after a divorce, as courts prefer to keep a child with their biological parents. Even if the stepparent is responsible for years of a child's upbringing, they still have minimal rights when it comes to seeing them. Many times, parents will agree on visitation rights for a stepparent. However, if the biological parent does not wish to do so, it can be tough to obtain visitation or custody rights.