the previous stage depending upon the amount of rejects until the final stage contains less than 10 cleaners stream 34 is again enriched with respect to heavy components with respect to stream 32 and is fed to the third stage 16 bank of cleaners for further processing diluent water may again be added at 36 if so desired to stream 34 stage 16 generates another accepts stream 38 which is fed back to the second stage stream 28 and another rejects stream 40 enriched in heavy hydrophobic components in like fashion stream 40 is fed to the fourth stage 18 bank of cleaners at 42 where diluent water may again be added the fourth stage generates another accepts stream 44 and another rejects stream 46 these streams have the rejects accepts characteristics noted above stream 46 is fed to yet another stage 20 of forward cleaners at 48 wherein stream 46 is divided into an accepts stream 50 and a rejects stream 52 as indicated on the diagram accepts stream 50 is recycled to the fourth stage as shown and rejects stream 52 is discarded or further processed if so desired there is thus described a conventional forward cleaner system utilizing centrifugal cleaners in cascaded refluxing fashion to concentrate the waste material and purify the pulp which is fed forward at a papermaking process to a thickening device or a cleaning device such as screens or a reverse cleaner in accordance with the present invention a flotation stage is advantageously integrated into a multistage forward cleaner system to remove hydrophobic material and increase the cleaning efficiency flotation.