A milling device is provided, having a milling tool that rotates about a tool rotation axis, wherein the milling device has a slide, and in that the milling tool is held on a pivot axis that extends transversely, in particular perpendicular, to the tool rotation axis and through the slide, wherein the slide is designed and the position of the milling tool is selected such that, during milling, a traversing movement is effected by manually moving the slide and advance is effected by pivoting the milling tool about the pivot axis. Also provided is a method for milling within a slot of a component, in particular within a blade root receiving slot of a turbomachine, using a milling device.
