A cylindrical housing encloses a plurality of vertically stacked extractor sections each containing a plurality of baskets in vertical registry with baskets of the other sections, with the baskets all being stationary so that material to be processed passes in a vertical path down through each successive extractor section. Rotating screens and miscella collection pans are disposed beneath the baskets in each extractor section and form the bottom thereof, with the screens and pans having aligned openings which during rotation permit the material being processed to be passed from an upper basket to a lower basket in vertical registry therewith. A countercurrent flow miscella and solvent distribution and collection system supplies miscella or fresh solvent to the upper portion of each of the extractor sections above the baskets and rotates with the screen and collection pan to progressively apply the proper strength of miscella or solvent to each of the baskets in each of the extractor sections.