Abstract: An apparatus for transporting several files of spaced apart paper stacks has several neighboring transporting units, one for each file and each having a frame mounting front and rear shafts for three toothed pulleys cooperating with toothed belts whose outwardly extending lobes can advance and/or guide stacks during movement along the upper side of a platform. The lobes of the median belt in each frame are engaged by the front edge faces of the stacks, and the lobes of the outer belts in each frame engage the trailing edge faces of the stacks on the respective transporting unit. Two gears are rotatably mounted on each rear shaft to respectively drive a pulley for one of the outer belts and a pulley for the median belt in the respective transporting unit. Such gears mesh with second gears which are mounted in the respective frame, and with driver gears which are mounted on shafts receiving torque from a stepping motor.