For Supreme Court orders (which includes divorce cases) you have thirty days to file a Notice of Appeal, measured from the date of service of a copy of the order or judgment with notice of entry. For this time period to start, the order/judgment must have been entered with the county clerk and there must be notice served of this filing. If any one of these things does not happen, theoretically the time to appeal never lapses. If the order is a Family Court order, you have thirty days from service of the order, and there is no requirement of entry with the county clerk or service of notice of entry. If the order is a Family Court support order, you must file objections with the Family Court first; if the Family Court order denies your objections, you can appeal this denial to the Appellate Division of the Supreme Court.