A device and a method for delivering fluids, preferably for delivering medical fluids, such as in the field of dialysis, include at least one pump designed as a displacement pump and at least one control unit that controls the operation of the pump. The pump is actuated by the control unit such that during a suction stroke in a first operating condition the pump takes in a volume exceeding a desired delivery volume for the purpose of discharging a desired delivery volume, and discharges portions of the volume taken in by performing a plurality of partial delivery strokes in the form of partial volumes which are smaller than the volume taken in.
