A sheet-processing machine has a shaping device for processing sheets. The shaping device has at least one shaping point. The sheet-processing machine comprises at least one separating device. The at least one separating device is designed to remove at least one remaining piece from at least one sheet of the sheets. The at least one separating device is arranged downstream of the at least one shaping point along a transport path provided for transporting the sheets. At least one inspection device is arranged, downstream of the separating device in the transport direction of the sheets, to determine an actual state of the at least one sheet of the sheets. The invention additionally relates to a method for inspecting at least one remaining part of at least one sheet of sheets, which part has been processed by a shaping device, and to a method for inspecting at least one sheet of sheets.