A method to improve the cleansing effect on non-delicate washing which is to be washed in a washing machine comprising a washing drum. The washing drum is driven in at least one A phase (intensive wetting) and in at least one second B phase (high wash mechanics) within the washing and/or rinsing processes. Said phases are successive at least once during said washing and/or rinsing processes. In the A phase (intensive wetting), the washing drum accelerates in the first rotational direction (+) up to a rotational speed n1 which is significantly greater than the applicational rotational speed and in the other rotational direction (−) up to a second rotational speed n2 which is significantly less than the applicational speed. In the B phase (high wash mechanics), the washing drum accelerates in both rotational directions up to rotational speeds whereat the individual items of washing are highly spun and are rubbed against each other.