Soak a clean cloth in fresh water.
Rub the cloth over the dull spots until the soap scum and residue is gone.
Spray marble polish over the dull spots. The marble should be wet.
Buff the polish into the dull spots on the marble with a clean cloth. Work in circular motion until the dull spots are gone.
Rinse the area with clean water and wipe it dry completely with a microfiber cloth.
Repeat the polishing process if there are still dull spots on the floor.