The Submillimetre Common User Bolometer Array (SCUBA) instrument has been operating on the James Clerk Maxwell Telescope (JCMT) since 1997. The data archive is now sufficiently large that it can be used to investigate instrumental properties and the variability of astronomical sources. This paper describes the automated calibration and reduction scheme used to process the archive data, with particular emphasis on ‘jiggle-map’ observations of compact sources. We demonstrate the validity of our automated approach at both 850 and 450 μm, and apply it to several of the JCMT secondary flux calibrators. We determine light curves for the variable sources IRC +10216 and OH 231.8. This automation is made possible by using the orac-dr data reduction pipeline, a flexible and extensible data reduction pipeline that is used on the United Kingdom Infrared Telescope (UKIRT) and the JCMT.