A method of monitoring variation in the current value of a rate of fluid flow through a fluid meter which includes a measurement unit and a rotary shaft connected to said measurement unit and suitable for rotating about its own axis when a volume of fluid passes through the measurement unit, the method consisting in detecting rotary movements rather than rotation of the shaft at a sampling frequency that is variable between two frequencies in application of a predetermined sampling relationship according to corresponding predetermined fluid flow rate values, and in electronically processing bits corresponding to detection and to non-detection of a rotary movement of the shaft at said sampling frequencies in order to determine the current value of the fluid flow rate over a continuum of flow rates and relative to the predetermined fluid flow rate values included in said continuum of flow rates.