The New York State divorce procedure involves several steps, including meeting residency requirements, determining grounds for divorce, preparing and filing a divorce petition, serving the petition, responding to it, engaging in discovery, negotiating a settlement agreement, attending a court hearing, receiving a judgment of divorce, and filing for a certificate of dissolution. The New York State Divorce Procedure for a New York State divorce can take 6-18 months, depending on the complexity of the case and cooperation between the spouses.