The invention relates to a remotely-operable remote handling arrangement use in radioactively loaded large-area cells of facilities containing process equipment for reprocessing irradiated nuclear fuels. The remote handling apparatus has an industrial robot which is controlled by a process computer and which, for the purpose of detecting the position of an arm of an articulated joint of the robot, is provided with a rotary sensor for determining the angular position of the arm. The rotary sensor is configured as a resolver and is configured pursuant to the induction principle. A second resolver is arranged coaxially with respect to the first resolver in order to be able to check the true position of the arm of the joint. On its shaft, the second resolver has a suitable indicator which is rotatable with the shaft relative to a zero mark. The true position of the shaft of the first resolver and thus the true position of the monitored arm is detected by a scan from the zero mark to an indicator on the shaft of the first-mentioned resolver.