In order to achieve as highly accurate an alignment of the frictional tool as possible and therefore as high a drilled hole quality as possible during the precision machining of a drilled hole, the cutting edges of the frictional tool are divided into two cutting groups, the cutting edges of which are spaced apart with respect to one another in each case by an axial spacing from one another. Here, the axial spacing is selected in such a way that, at a predefined first, slower feed speed, merely the cutting edges of the first cutting edge group are in engagement with the workpiece and, at a higher, predefined second feed speed, all cutting edges are in engagement with the workpiece.