After filing Form N-400, Application for Naturalization, the entire naturalization process can take anywhere from 5-8 months. This is an approximation. It may be shorter for some and longer for others.
Best Answer Thanks! I assume from your question that you have a court order for child support that ordered your ex to pay the $820 per month. Assuming this to be the case, and assuming that the court did not allow your ex to reduce his payment, you can go back 10 years to collect arrearages.
Please be aware that a court or administrative child support order can continue to age 19 if the child is attending an accredited high school full-time and a court support order may require a support order to continue beyond the child's 19th birthday due to specific facts and circumstances as documented on the court support order.