Abstract: The invention concerns a process for the aligning of the tooth spaces of workpieces (1) with precut teeth, which are set up for fine machining on the work spindle (2) of a gear finishing machine. In order to avoid the trend related occurrence of out-of-tolerance aligning errors as series production progresses, teach-in cycles are performed on the workpiece machined in the immediately preceding machining cycle, called for automatically after time intervals or machining cycle intervals which are either pre-defined or calculated by the machine control system. By this means any prevailing trend errors are restored to zero.