A roller mill for crushing brittle material has two grinding rollers forming a grinding gap, and provides a delivery chute for feeding the material to the grinding gap. In the delivery chute at least one distributor device is arranged above a middle region of the grinding gap and extends above the grinding gap transversely to the longitudinal extent of the grinding gap and covers from 5 to 70% of the cross-section of the delivery chute. The material is delivered to the delivery chute and is crushed in the grinding gap, wherein the material is introduced into the delivery chute or is deflected in the delivery chute in such a manner that, based on the longitudinal extent of the grinding gap, coarser material accumulates in a middle region of the grinding gap than in the edge regions.