Remove as much of the adhesive or adhesive residue as possible. You can use a razor blade or paint scraper to remove the adhesive, but be very careful to not scratch the marble surface.
Wet a clean, soft cloth with acetone.
Scrub the adhesive gently with the acetone rag until the adhesive loosens and you can wipe it away with the rag. If the adhesive leaves behind a stain on the marble, proceed to Step 4.
Mix a poultice made by adding mineral spirits to diatomaceous earth or baking powder until the mixture reaches the consistency of peanut butter.
Spread the poultice over the area where you removed the adhesive. The poultice should be about 1/4 to 1/2 inch thick and should extend beyond the stain approximately one inch on all sides.
Place plastic wrap over the poultice and tape down the edges of the plastic wrap to make sure that it is sealed. Leave it for 24 to 48 hours.
Remove the plastic wrap and remove the poultice from the marble.
Rinse the area with distilled water, then dry the marble completely with a clean, soft cloth.