A method for increasing the removal of a higher fraction of liquid from the press cake in any belt press is described. Specifically, the invention incorporates a series of rollers that create multiple pinch points to compress the solid fraction while removing liquid. After each pinch point, the solid material is allowed to separate from the belt, fall by gravity, and repack so that more liquid can be released at each successive pinch point than is possible if the material is fed to multiple rollers and pinch points in series without decompressing as is done is prior art.