Abstract: A receiving container is filled with a predetermined target mass mz of a free-flowing substance from a reservoir with the help of a dosage-dispensing device that dispenses measured doses of the substance. The device has a valve for variably setting the mass flow {dot over (m)} from the reservoir into the receiving container. The device is also able to determine the time t that has elapsed since the beginning of the fill cycle, the mass m of the substance present in the receiving container, and a unit for controlling the valve. The controller unit includes estimating and correction modules. At least once during the fill cycle, the estimating module performs an estimate of the mass {tilde over (m)}(t, t2) that is expected to be present in the receiving container at the end of the fill cycle at the time t2. This estimate is based on the assumptions that from the time t onward the valve is being closed according to a predefined closing-down profile and the fill cycle is completed at the time t2.