A measuring device for the determination of an ash loading of a particulate filter for an internal combustion engine of a motor vehicle, where a regeneration operation of the particulate filter is carried out such that, after termination of the regeneration operation, a predefined, minimum soot loading remains on the particulate filter. The measuring device is configured to determine an actual regeneration variable which is characteristic for a loading combustion operation during the regeneration operation of the particulate filter via a pressure sensor which is attached downstream in the exhaust gas flow of the particulate filter in the exhaust gas system of the internal combustion engine. The measuring device is further configured to determine the ash loading of the particulate filter dependent on the actual regeneration variable and a variable which is characteristic for the time duration of the regeneration operation.