An agricultural working machine has a first axle and a second axle, multiple ground-engaging means disposed at the first and second axles that are at least partially drivable by a drive engine or are steerable using steering-knuckle steering, a steering-angle sensor disposed at a steerable ground-engaging means for detecting a set steering angle (δth) and a steering brake for the selective braking of one or more drivable, ground-engaging means for steering support. A control unit controls and regulates the at least one steering brake based on a steering angle (δth, δtat) or a slip angle (α) of at least one of the steerable ground-engaging means.