A marble floor in your home is most likely made up of marble tiles. Marble floor tiles are made of a natural stone and are generally very resistant to damage such as dents and holes. However, a hard blow to your marble, such as a dropped piece of furniture or metal tool, can leave a significant hole. When this happens, you need to use specific methods and supplies to repair and fill the hole.
Purchase some marble dust, available through marble dealers.
Add a small amount of polyester resin cement to the marble dust until you get the consistency of paste.
Pour the resulting paste into the hole in your marble floor. Use a liberal amount.
Remove excess paste with a finishing tool to create a smooth surface. Let it dry all night.
Use sandpaper to smooth out the finish of the patched hole. Start with a coarse sandpaper and gradually decrease until you get down to a very fine sandpaper. This will leave a smoother finish.