THE PAPERS NEEDED TO OBTAIN AN UNCONTESTED DIVORCE IN NEW YORK STATE: Notice of Automatic Orders. A New York separation agreement allows couples to set rules that will govern the period after they are no longer living together but before they are divorced.A separation agreement is a written agreement that you and your spouse voluntarily sign without involving the court. Download your free divorce settlement agreement template here so you can concur with a former spouse on essential matters. Intheblanks form required for any matter originating and electronically filed in Supreme or Surrogate's Courts in Richmond County.