The system (1) includes braking means (2) for braking the aircraft, a braking unit (3) controlling the braking means (2) on the basis of deceleration orders, a computing unit (5) for computing deceleration orders, which determines a plurality of distance/speed pairs relating to the movement of the aircraft over a landing runway, each of said pairs indicating the speed of movement at the associated distance defined relative to the runway threshold of the landing runway, and an interface element (7) that includes means (14) displaying on a screen (15) a representation (16) of the landing runway, showing the exits, and indications illustrating the distance/speed pairs, aiding an operator in choosing one of the exits, and means (17) enabling an operator to select the chosen exit.