Washing machine having - a drum rotatable about an axis of rotation for receiving laundry, - at least three balancing containers (A 1, A 2, A 3) for balancing an unbalance of the drum caused by the laundry, -- which balancing containers (A 1, A 2, A 3) are arranged relative to the drum in different angular positions (φ 1, φ 2, φ 3) about the axis of rotation, -- which balancing containers (A 1, A 2, A 3) each comprise a plurality of partition walls (T 11 to T 15, T 21 to T 25, T 31 to T 35) for forming balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) arranged along the axis of rotation, -- which balancing containers (A 1, A 2, A 3) each comprise a plurality of overflow channels (t 11 to t 15, t 21 to t 25, t 31 to t 35) for connecting the balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36), - at least three supply units (Z 1, Z 2, Z 3) for supplying water to the at least three balancing containers (A 1, A 2, A 3), -- each of which is assigned to a balancing container (A 1, A 2, A 3), -- which supply units (Z 1, Z 2, Z 3) each comprise at least two supply channels (z 11, z 12, z 21, z 22, z 31, z 32) for supplying water into the associated balancing container (A 1, A 2, A 3), wherein for filling all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) of the respective balancing container (A 1, A 2, A 3) successively in a first filling direction, all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) are connected to a first supply channel (z 11, z 21, Z 31), characterized in that for filling all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) of the respective balancing container (A 1, A 2, A 3) successively in an opposite second filling direction, all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) are connected to a second supply channel (z 12, z 22, z 32). - a drum rotatable about an axis of rotation for receiving laundry, - at least three balancing containers (A 1, A 2, A 3) for balancing an unbalance of the drum caused by the laundry, -- which balancing containers (A 1, A 2, A 3) are arranged relative to the drum in different angular positions (φ 1, φ 2, φ 3) about the axis of rotation, -- which balancing containers (A 1, A 2, A 3) each comprise a plurality of partition walls (T 11 to T 15, T 21 to T 25, T 31 to T 35) for forming balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) arranged along the axis of rotation, -- which balancing containers (A 1, A 2, A 3) each comprise a plurality of overflow channels (t 11 to t 15, t 21 to t 25, t 31 to t 35) for connecting the balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36), -- which balancing containers (A 1, A 2, A 3) are arranged relative to the drum in different angular positions (φ 1, φ 2, φ 3) about the axis of rotation, -- which balancing containers (A 1, A 2, A 3) each comprise a plurality of partition walls (T 11 to T 15, T 21 to T 25, T 31 to T 35) for forming balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) arranged along the axis of rotation, -- which balancing containers (A 1, A 2, A 3) each comprise a plurality of overflow channels (t 11 to t 15, t 21 to t 25, t 31 to t 35) for connecting the balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36), - at least three supply units (Z 1, Z 2, Z 3) for supplying water to the at least three balancing containers (A 1, A 2, A 3), -- each of which is assigned to a balancing container (A 1, A 2, A 3), -- which supply units (Z 1, Z 2, Z 3) each comprise at least two supply channels (z 11, z 12, z 21, z 22, z 31, z 32) for supplying water into the associated balancing container (A 1, A 2, A 3), wherein for filling all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) of the respective balancing container (A 1, A 2, A 3) successively in a first filling direction, all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) are connected to a first supply channel (z 11, z 21, Z 31), -- each of which is assigned to a balancing container (A 1, A 2, A 3), -- which supply units (Z 1, Z 2, Z 3) each comprise at least two supply channels (z 11, z 12, z 21, z 22, z 31, z 32) for supplying water into the associated balancing container (A 1, A 2, A 3), wherein for filling all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) of the respective balancing container (A 1, A 2, A 3) successively in a first filling direction, all balancing chambers (a 11 to a 16, a 21 to a 26, a 31 to a 36) are connected to a first supply channel (z 11, z 21, Z 31),