Playing card-handling devices, such as shufflers, dealing shoes, discard racks and verification systems, are rotatably secured to a gaming table to allow for functional and ergonomic adjustment of the card-handling device, without removal from the gaming table. One end of the device, preferably a front end of the device from which playing cards may be removed, has a structure that extends through an aperture in the gaming table. The device is movable within the aperture. Movement in the X-Y direction, angular movement and rotational movement, parallel to the movement of the plane of the surface of the gaming table, is enabled. The movement of the device about the aperture preferably maintains the base of the device relatively parallel to the plane of the surface of the gaming table.