A processing machine has a plurality of processing stations for the processing of articles. A plurality of the processing stations are each configured in the form of a printing unit. The processing stations, which are provided for processing the articles, are each arranged at different positions. At least one handling device is provided for transporting at least one of the articles which is to be processed. The handling device has a drive which is controlled by a control device and, which handling device, by the use of this drive, can be displaced from one processing station, in which the respective article is processed, to at least one next processing station for processing this article. The processing machine has a learning phase and a production phase. Provision is made for a memory device, which is connected to the control device, to store, in the learning phase, position-related values of the relevant handling system, those position-related values being determined by the use of a calibration travel executed by the relevant handling system for a certain processing procedure. Following the changeover of the processing machine from its learning phase to its production phase, the drive of the relevant handling device is controlled by the control device such that the relevant handling device assumes, one after the other, the positions previously stored for it in the memory device in the learning phase.