Clean the marble's entire surface well with a neutral marble stone cleaner and a soft cloth. Spray the cleaner on the marble, and wipe the surface dry with the cloth. Rinse the area well with clean water, and dry it thoroughly.
Remove water spots with a 0000 steel wool pad. Keep the surface dry, and apply light pressure on the steel wool pad as you work it in circles over each water spot. Keep rubbing until you remove each water spot.
Sprinkle marble polishing powder over the etched areas. The powder is made of very fine grit that polishes the stone. Spray clean water over the polishing powder, and use a buffer fitted with a soft, wool buffing pad to buff the polishing powder over the marble. Continue buffing until the marble surface has an even, glossy shine.
Rinse the marble surface with water to remove leftover marble polishing powder. Dry the rinsed surface well with a soft cloth.