A multi step transmission comprising gear sets, shafts and shift elements. The sun gear of set (P1) couples drive shaft (1). The carrier of set (P1) couples shaft (3) which couples, via brake (03), housing (G). Shaft (3) couples shaft (1), via clutch (13), and shaft (5) via clutch (35). Shaft (5) couples the ring and sun gears of sets (P2, P4) respectively, and shaft (8), which couples the sun gear of set (P3), via clutch (58). Shaft (1) couples shaft (7) which couples, via clutch (17), the carrier of set (P4). Shaft (6) couples the ring gear of set (P1) and the carrier of set (P2). The sun gear of set (P2) couples shaft (4) which couples, via brake (04), housing (G). The ring gear of set (P3) couples housing (G). Output shaft (2) couples the ring gear and carrier of sets (P4, P3) respectively.