Dry-mop the floor with a dust mop to remove all loose dust, dirt and grime.
Fill a mop pail with cool water. Wet the cloudy area of the floor with the water, using a sponge mop.
Sprinkle marble polishing powder over the wet marble. Follow the manufacturer’s directions on the product’s label.
Dampen a clean microfiber cloth with cool water. Buff the marble with a damp cloth, using circular motions.
Rub the powder into the marble until the etching disappears. Frequently rinse the cloth with fresh water to prevent reapplying grime to the marble.
Refill the mop pail with fresh water. Mop the floor with the water to rinse away any residue.
Dry the floor with a clean terrycloth towel. Remove all moisture from the marble.