Sweep up any dirt and debris and vacuum to remove fine particles. Open the windows to ventilate the room. Don rubber gloves, protective glasses and a painter's mask to avoid breathing in fumes.
Spray or pour on an epoxy floor stripper, applying it to one section of floor at a time. Use solvent- or water-based stripper, depending on the type of epoxy applied to the floor. If the epoxy is water-based, use a water-based stripper. The All Things Concrete website recommends using an environmentally-safe, soy-based stripper that emits no harmful fumes. Spread the stripper with a mop or broom.
Shut all the doors and block off the room. Allow the stripper to soak into the old layer of epoxy for 24 hours, or the time recommended by the manufacturer.
Set the blade of a long-handled scraper at the edge of the epoxy. Insert the scraper under the epoxy and push, keeping the blade down and lifting the coating of epoxy. Scrape the epoxy up in rows, moving from one side of the room to the other.
Apply floor stripper again and scrape to remove stubborn epoxy. Remove any remaining epoxy with a wire brush.
Shovel up the epoxy and place it in garbage bags. Rinse the floor with water and allow it to dry.