The invention relates to a rotary tube mill and to a method of comminuting lumpy mill feed material, in which at least a first and a second grinding chamber as well as a co-rotating partition disposed between the grinding chambers are used. The material ground in the first grinding chamber is divided in the partition into first and second part-quantities of mill feed material, whereby at least a part of the second part-quantity of mill feed material proceeds into the second grinding chamber and at least the first part-quantity of the mill feed material is discharged separately from the tube mill.