Method for the chip-removing machining of the tooth flanks of a gear wheel having n teeth and n tooth gaps on a multiaxis grinding machine. A grinding disc which may be dressed is used for the machining and one of the n tooth gaps after another is machined using this grinding disc in the single indexing method. The grinding disc plunges into each of the n tooth gaps up to a predefined plunging depth (T1). If it is a freshly dressed grinding disc, the grinding disc is plunged using a predefined first restraint in relation to the normal predefined plunging depth into m of the n tooth gaps at the beginning of the machining of the gear wheel, to pre-machine these m tooth gaps (for this purpose: m=1, 2, or 3 and m