Wipe the area with a damp microfiber cloth to remove surface residue.
Rub the stain with a slightly moistened melamime dirt eraser sponge; you can purchase this type of sponge under brand names such as Magic Eraser, Nano Sponge and Ultimate Sponge. This may be all you need to do if the stain is fresh.
Moisten a cotton pad with rubbing alcohol. Wipe the stained area to remove remaining dye; then rub the area with a melamine sponge or damp microfiber cloth.
Make a mildly abrasive paste to remove gel dye that has seeped into the top layer of the stained wood. Combine 2 tablespoons of baking soda with a few drops of white vinegar until a thick paste forms. Rub the paste on the stain in a circular motion using the end of a microfiber cloth. When the dye has been lifted, wipe the area clean with a damp microfiber cloth.