Add 1 to 2 tsp. mild dish soap or stone cleaner to a bucket, and fill the bucket with 1 gallon warm water.
Dip a soft cloth in the soapy water and wring it out. Wipe the marble tabletop, rinsing the cloth in the bucket as necessary.
Rinse the cloth with clean water, wring it out, and wipe away any soap residue from the marble tabletop.
Dry the marble tabletop thoroughly with a towel.
Buff the marble tabletop with a soft, dry cloth. Rub the tabletop in small, circular motions to bring out the marble's natural shine.