Combine 1 teaspoon of washing soda with 1 gallon of warm water in a mop bucket.
Mop the floor with the soda water. Rinse and wring the mop regularly to remove the oil particles from the mop head. Some foaming may occur when the washing soda comes in contact with the oil.
Empty the mop bucket and refill it with 1 gallon of fresh, warm water. Mix 1 cup of white vinegar into the mop water.
Mop the floor with the vinegar water, rinsing and wringing the mop as necessary. The vinegar breaks down and removes any remaining oil or washing soda residue.
Wipe the floor dry with a clean towel. Check for any remaining oily or slippery spots. Mop these spots a second time with the soda and vinegar.