Soak up as much of the food dye as possible with paper towels. Work from the edge of the stain toward the center so you don’t spread the stain. If the stain is very old, this process will not work to remove any of the stain.
Add just enough water to 2 tbsp. of powdered bleach to make a thick paste.
Spread the paste over the stain, and scrub with a brush. If the stain is new, the dye will be gone instantly. If it is old, let it sit several minutes or overnight.
Rinse the area with clear water, and dry it completely with a clean cloth. Use just enough water to rinse the area so you don't warp the wood with too much liquid.