Furthermore, a divorce decree can order that a parent continue paying child support while a child is enrolled in college. For these reasons, it is essential that you carefully review your divorce decree and your state's child support guidelines prior to making any changes to your child support payments.n some states, such as Oklahoma, you can stop making child support payments the month after a child's 18th birthday, as long as the child has graduated from high school. In other states, child support continues until the paying parent files an application with the court to stop it.