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Gather your supplies. Fill a large bucket with water. Dunk a clean mop into the cleaning solution. Mop the floor in small sections. Remove excess soap or cleaner.
You will need a mop and large bucket, warm water, and a mild, pH neutral cleaner. Do not use ammonia, bleach, or any other highly acidic or alkaline cleaner, as it may damage the concrete finish. Good neutral cleaners to use include: Mild dish soaps Castile soap Neutral stone cleaner pH neutral floor cleaners or detergents Use about one gallon (3.8 liters) of warm water. Stir in one-eighth to one-quarter cup (30 to 60 ml) of mild soap or pH neutral cleaner (or the amount recommended by the manufacturer). Once it's saturated, wring it out thoroughly. The mop should be only slightly damp for cleaning the floor: you want the water to dry quickly, and don't want excess water sitting on the concrete. Start in a corner farthest from the door and make your way toward the door, cleaning small areas at a time. As you mop, frequently re-dip the mop in the water and wring it out thoroughly. Consider having an oscillating fan blow air into the room to help the floor dry quicker. When you have cleaned the entire floor, dump out your cleaning water, rinse the mop and bucket, and refill the bucket with clean, warm water. Mop the floor again in the same way with the clean water, dunking and thoroughly wringing out the mop often. Start at the farthest corner and work toward the door again, working in small sections.