The present invention relates to a method for the aerobic digestion of a fluid waste material, notably an aqueous sewage, in which at least part of the waste material and/or of the digestion mixture is comminuted to reduce the median particle size of biomass and other solid particles in the digestion mixture to less than 10 micrometres, for example using destructive cavitation with a pressure drop of from 2 to 7.5 Bar. The comminution produces particles which are preferentially ingested by predator organisms in the digestion stage so that they graze on the bacteria and biomass particles and thus reduce the amount of biomass and suspended solids produced in the digestion stage. The invention also relates to apparatus for use in the method of the invention.