Sand the coral down to a silk-like finish with the 220-grit sandpaper. Begin sanding in a circular motion from a central point in the piece of coral and sand outward, against the natural grain of the coral. For small crevices and corners, use small nail files as sanding boards.
Load the cotton muslin buffer pad with a generous amount of the ZAM polishing compound. The muslin pad should be moist, but not soaking wet.
Attach the buffer pad to the buffing machine, making sure that the pad is secure. The pad is attached by Velcro, or by sticking a metal end of the buffer pad into the machine (similar to a drill and its bit attachments). Many buffer pads with metal rods on their backs will also fit into drills just like any drill bit. See the specific maker of your drill to find the appropriate bit size.
Run the buffing machine at full power, making sure that the coral does not over heat. Buff the coral horizontally, removing all of the sanding marks. Apply pressure on the areas that have the most scrapes from sanding. If it becomes too hot, let it cool and begin again. Make sure the buffer pad is well lubricated with ZAM throughout the buffing process.
Buff the coral vertically (in the direction of its grain) until it has finally obtained a high shine finish.