Clean the marble by wiping it with a damp cloth prior to buffing. Allow the marble surface to dry completely before proceeding.
Apply a few drops of stone soap to a clean soft rag (or a mop if cleaning marble floors). Buff vigorously, using a side-to-side motion over the entire surface, with the cloth (or mop).
Allow the surface to dry. Apply more coats of stone soap as necessary to improve on the shine.
Buff any corners of the surface by applying stone soap to them and wiping them dry with a soft cloth.
Go over the marble with a cloth that's been dampened with clean water once the buffing is complete and you're satisfied with the shine of the surface.