A separating and rolling device for use in an apparatus for the continuous, chipless separation of individual, identical pieces from a solid round workpiece, comprising at least two cutting rollers cooperating with one another for separating and rolling a solid round workpiece defined by a radius, each of the cutting rollers defined by a separating portion and having a coil, wherein the coil of one of the cutting rollers has in the separating portion a height which at a minimum is equal to the radius of the workpiece, wherein the coil of another one of the cutting rollers is so configured as to eliminate a collision in the separating portion with the coil of the first one of the cutting rollers.