Remove the granite tile. You will need to break the tile up with a hammer. Wear your safety goggles and a pair of gloves. Strike the tile in the center with the hammer to crack it. Begin picking up the pieces. It helps to have a small garbage can nearby to toss the pieces in as you go. You may need to hit some tiles more than once to break them up into more manageable pieces. Remove all the tile in the room.
Remove tile adhesive. In order to get a firm grip for your new cultured marble tile, all of the old mastic will need to be removed. Open up all the windows in the room and run a fan for better ventilation. Wear a mask and gloves. Apply adhesive remover with a paint brush. Let it set according to manufacturer instructions. Use a plastic putty knife to scrape off the loosened adhesive. This step will take some time; be patient and make sure all the old adhesive is removed.
Lay out the new marble flooring. See where you will need to make cuts on the new tile and determine how many squares of tile you will need. Make any cuts as necessary with a marble tile cutter.
Put down the new mastic. Use a trowel and apply a thin layer of adhesive to the floor. Texture this with a textured trowel. Gently press each tile into place. Use grout spacers in between the tiles as you work. Let this set.
Grout between the marble tiles. Use a marble-safe grout, then remove the grout spacers and grout in between the tiles. Wipe off any grout that gets on the marble as you go. Give this time to set and do not allow foot traffic on the floor for at least 24 hours.