A method of machine cleaning dishes in a dishwasher, wherein over the course of a cleaning program, having a pre-rinsing operation and a cleaning operation, two liquid cleansers A and B having the following composition: A: −10 to 75 wt % of builder(s); −0.1 to 10 wt % of enzyme(s); −24.9 to 89.9 wt % of solvent; and B: −10 to 74.9 wt % of builder(s); −25 to 89.9 wt % of solvent; are metered into the wash bath at two successive times t1 and t2. The liquid cleanser A has a pH value (20° C.) of between 6 and 9 and is metered in at time t1, while the liquid cleanser B has a pH value (20° C.) of between 9 and 14 and is metered in at time t2.