Abstract: A positive displacement sorter includes a conveying surface, a plurality of pusher shoes capable of traveling laterally of the conveying surface travel direction, a diverting assembly selectively diverting the pusher shoes and a control. The pusher shoes are generally separated from each other and the travel of direction by a shoe pitch. The diverting assembly includes a plurality of diverting rails extending generally diagonally under the conveying surface and a plurality of actuators associated with the diverting rails. The control is capable of controlling at least two of the actuators in a manner that selectively diverts at least two of the pusher shoes that are spaced apart in integer increments of the shoe pitch notwithstanding that the actuators are separated from each other by more than the shoe pitch.