A method of operating an automatic transmission of a motor vehicle. The automatic transmission, when the motor vehicle is driven with an actuated accelerator and an engaged starting clutch, and then coasts with the accelerator not actuated and the starting clutch engaged, during coasting with the engaged starting clutch the transmission remaining in the gear in which it was previously driven with the gas pedal actuated. When the transmission input speed of the automatic transmission drops below a limit value, during coasting, the starting clutch is disengaged. During coasting with a disengaged starting clutch in the automatic transmission, a gear is shifted that matches the current speed of the motor vehicle so that, when the starting clutch is subsequently engaged, a gear is available that matches the speed of the motor vehicle prevailing at the time the starting clutch is subsequently engaged.