In New York State, divorce cases are typically handled in the Supreme Court of the county where either spouse resides. The divorce court oversees proceedings related to the dissolution of marriage, including issues like spousal support, child custody, and asset division. Judges presiding over divorce cases consider legal factors and aim to ensure a fair and equitable resolution. Parties involved may need legal representation to navigate the complexities of the court process. The divorce court's decisions have a significant impact on the lives of the parties and any children involved.