A system includes a means of acquiring the position of the aircraft on the runway and its speed in the taxiing phase, a means of storing data concerning the runway and a predefined deceleration law, a function for calculating the distance that the aircraft will have traveled on the runway when it has reached a certain speed and/or the speed that it will have reached when it has traveled a certain distance: the calculated distance makes it possible to adapt the braking by comparison with the distance remaining to reach the end of the runway; the calculated distance makes it possible to adapt the braking by comparison with the distance remaining to reach the end of the runway; the calculated speed makes it possible to adapt the braking by comparison with the maximum speed to take the exit.