As a container (3) is filled with a material to a very small tolerance, a method displays an evolution of a measured current filling quantity (Q) of the material, from a starting filling quantity Q0 to a target filling quantity QT. A measuring means (5) measures the measured current filling quantity as filling proceeds. A display means (10) shows a first pointer (11), a position X of which is indicative of the measured current filling quantity. The position X on the display means is a monotonic function of the measured current filling quantity. As the measured current filling quantity enters a tolerance subrange on either side of the target filling quantity, a function that defines the position of the first pointer is changed to permit accurate filling, but in a manner so that a user of the measuring means does not perceive a discontinuity in the display.