A transmission device for distributing drive torque between two output shafts. The device comprises three planetary gearsets (2, 3, 11). An input shaft is connected to a first element of gearsets (2, 3). The output shafts each couple a second element of gearsets (2, 3). A third element of gearset (2) couples a first element of gearset (11) and is connectable, via brake (14), to the housing. A third element of gearset (3) is connectable, via brake (17), to the housing and, via a claw shifting element (24), to a second element of gearset (11). A third element of gearset (11) couples the housing. Claw shifting elements (24, 18) couple the brakes (14, 17) such that, to engage brakes (14, 17), the claw shifting elements are first coupled to the first element of gearset (11) or the third element of gearset (3), and then the brakes are engaged.