A method for shifting gears in a dual clutch transmission within a motor vehicle and a motor vehicle implementing said method are suggested providing a smooth transition between gears particularly in the starting phase. The dual clutch transmission comprises a first clutch and a second clutch as well as a first partial transmission having a first and other gears and a second partial transmission having a second and other gears. The clutches are controlled to a) decrease a torque transmitting capacity of the first clutch; b) increase a torque transmitting capacity of the second clutch; c) adapt the rotational speed of the motor in direction of a rotational speed of an input shaft of the second partial transmission via increasing the torque transmitting capacity of the second clutch; and d) control the torque transmitting capacity of the second clutch to a final torque value.