A device for cyclically rearranging a pile of rectangular or square sheets (such as photographic prints) by repeatedly performing the operation of removing one sheet from one end of the pile and returning the removed sheet to the other end of the pile. To facilitate removal of each sheet from the pile, the sheet to be removed is pressed against a frictional surface by a roller on the separator structure which moves relative to the sheet to be removed in order to separate that sheet from the remainder of the pile. The frictional surface moves with the sheet to be removed, and the roller helps ensure that the sheet to be removed stays in contact with the frictional surface and is moved thereby.