A method for preparing hot beverages in a hot beverage machine by possibly repeatedly pumping a specific quantity of water from a water tank into a heating device, heating the quantity of water, pumping the heated quantity of water out of the heating device into a brewing chamber and possibly at the same time pumping a further quantity of water out of the water tank into the heating device, brewing a brewing substance contained in the brewing chamber to produce a hot beverage, and finally converting the quantity of water last pumped into the heating device completely into steam in a controlled manner for forcing liquid out of the entire line system downstream of the heating device.