The chromatography part of the Mülheim Computer System is described. This system is capable of processing the data from multiple on-line analytical instruments (up to 23 active channels to be used for chromatography) and covering, as well, the needs for extended off-line computation, e.g. in quantum chemistry and x-ray diffractometry. The characteristic features of the system (interactive, multi-user timesharing) as well as its size allow the use of a very flexible and transparent chromatography software package. The latter has been designed to support the chemical research programs of the Mülheim institute, essentially automating the evaluation of chromatograms and to allow special experimental set-ups, e.g. the continuous automated analysis of reaction vessel contents in research labs. The interactive nature of the timesharing system is responsible for the software flexibility and permits accommodation of the analysis procedure and the report generation to the varying analytical problems. A short summary concerning benefits and limitations of the system is given.