Use hot, soapy rags to clean up the heaviest areas of grease on the floor. The more grease you get this way, the less time you'll spend mopping. Fill your mop bucket with hot soapy water. Scrub the floor with a mop. Rinse often in the hot, soapy water or the mop will collect grease and spread it around on the floor.. Pour out the bucket water. Rinse the mop under hot running water. Fill up the bucket with plain hot water. Mop the floor with the plain hot water to get all the detergent off. Dry the floor with a towel. Be careful while you clean the floor because it can be real slippery!