In a combine harvester according to the invention, the cleaning arrangement (15,16,17) is placed above the threshing and separation means (3). Because more space is available there, the preparation means (20) and the sieves (21) of the cleaning arrangement can be made wider than the distance between the front wheels or tracks (7) of the harvester. Supply means such as one or more auger beds (10,11) are provided underneath the threshing and separation means, for gathering the grain/residue mixture in a single location. From that location, an elevator (13,40,41) transports the grain/residue mixture up towards the cleaning arrangement, where it is distributed over the width of said cleaning arrangement. Specific distribution means may be provided for this purpose, such as one or more distribution augers (30,60,61), and/or the elevator may comprise multiple elevators (40,41), preferably loop elevators, configured to deposit the mixture at various locations along the width of the cleaning arrangement.