A method of operating a dual-clutch transmission of a vehicle having partial transmissions with respective transmission input shafts. Two friction clutches can couple a corresponding input shaft of the partial transmissions to a drive shaft. Both partial transmissions drive a common output shaft. In a process for starting the motor vehicle, a gear in each of the two partial transmissions is engaged and, if the starting speed of the vehicle in a primary direction is lower than a limit value, the gears in the two partial transmissions are kept engaged. If, however, the starting speed is higher than the limit value, the gear for the travel in an opposite direction in the partial transmission, not involved in the starting process, is disengaged and a follow-up gear, for the gear in the partial transmission involved in the starting process, is engaged.