A method and a device for gear cutting a work wheel includes a cutting wheel with cutting teeth, which is rotatably driven on a tool spindle about a tool spindle axis. The cutting teeth engage into the work wheel, which is rotatably driven on a workpiece spindle about a workpiece axis that intersects the tool spindle axis. In rough cuts, tooth spaces between left and right tooth flanks of teeth of the toothing are deepened via a change in axial distance of the tool spindle axis and the workpiece axis. In a first finishing cut, only the left tooth flank is precision machined with a chip removal point moving from top to base of the tooth with gear skiving movement. In a second finishing cut, only the right tooth flank is precision machined with a chip removal point moving from top to base of the tooth with gear skiving movement.