Abstract: A milling machine which mills the upper and lower surfaces of a plurality of strands that are drawn in a stepwise or intermittent fashion from a continuous casting machine. The milling machine is displaceable with respect to the continuous casting machine and moves in the strand feeding direction when the strands are drawn. The feeding speed of the milling machine is controlled by a pair of feed rolls in dependence on the displacement of the milling machine, which in turn depends on the drawing speed of the continuous casting machine, the length of draw, and on the milling rate. The casting machine produces a first controlling strand and non-controlling second and further strands. The speed and direction of the feed rolls regulates the motion of the milling machine under the control of the first controlling strand.