Abstract: A device for the rapid precision positioning of a heavy carriage employs stationary positioning bar, for instance a part of a linear electric motor or a gear rack, and a cooperating moving part of the linear motor or a motor attached to the carriage. The carriage is rapidly and roughly displaced with a further drive which may be constituted by a further gear wheel that cooperates with a gear rack and is driven by a separate motor attached to the carriage. This further drive additionally delivers a certain force for the final positioning in such a way that the play between the gear wheel and the gear rack is eliminated by biasing. Instead of a second gear wheel together with its motor a toothed belt, also driven by a separate motor, a pneumatic cylinder or a linear motor may be used. These are mounted separately from the carriage and ar principally fixed in space.