Abstract: The washing machine has a prewash chamber (11), a clear wash chamber (2), and a rinse chamber (3) in a tube (4). The chambers are separated from each other by separating walls (5, 6) having transfer openings. During the cycle period, which is defined by successive transfers of the laundry from one respective chamber (1, 2, 3) to the next, the rinse water in the rinse chamber (3) is changed more than once. The first rinse water is collected in a tank (47) and heated to the clear wash temperature during the cycle period. Before the end of the cycle the prewash water is drained from the prewash chamber (1) and the preheated clear wash water is filled into the prewash chamber (1). At the end of the cycle, the prewashed laundry together with the clear wash water passes into the clear wash chamber (2). This chamber can be heated via a steam connector fitting (43).