The court shall be open for the transaction of probate business at all reasonable hours. The judge of the probate division of circuit court may by order provide for the holding of sessions of the court at regular recurring times for the purpose of hearing claims, settlements and other matters but no such order shall prohibit the hearing and determination of any proceeding before the court at any time when necessary to promote the ends of justice nor shall such order be inconsistent with rules of court. If the last day on which any act is required to be performed in the court falls on any day on which the court is not open the same shall be performed on the next succeeding day on which the court is open.