A support apparatus includes a rotation therapy device, a pulsation therapy device, a dynamic therapy device, and a control system for operating the devices. These actual-value signals are compared to set points representing desired tooth shapes, and the teeth of the workpiece are meshed with abrasive teeth of a honing tool and the tool and workpiece are relatively rotated while orienting them so as to remove material from workpiece teeth whose actual-value signals vary from the respective set points. Thus, a plurality of different processes of treatment corresponding to the number of substrate treatment lines can be carried out in parallel for the respective substrates.