The New York State Divorce Procedure involves several key steps. First, either spouse must meet the residency requirements, living in the state for a specified period. Second, they need to determine the grounds for divorce, which can be either fault-based or no-fault. The couple must address issues such as child custody, support, and division of assets, either through negotiations or court proceedings. Throughout the process, adherence to New York's specific divorce laws and regulations is crucial. The final step involves obtaining a judgment of divorce, officially concluding the legal dissolution of the marriage.