Mix warm water and dish soap in a bucket until the water is soapy.
Dip a rag in the bucket. Cleanse the linoleum where the nail polish is dried.
Put on a pair of rubber cleaning gloves to protect your hands from the acetone. Dip a rag in acetone. Scrub the nail polish on the floor with the rag until the nail polish is completely removed.
Dip the clean rag into the bucket of soapy water again. Clean the area where you removed the nail polish.