Removing drywall dust from hardwood floors requires the same basic cleaning techniques used for other dusts. When drywall installers sand drywall, a very fine dust falls to the floor. If the floors aren't covered prior to this sanding, the dust needs to be removed before the floor can be finished. Professional drywall installers should clean up this dust as part of their job. Consider removing the dust before it gets tracked throughout the home.
Set a fan up in an open window. This will blow airborne dust particles out of the room while you clean.
Sweep the floor with a broom until the majority of the dust has been collected into a pile. Sweep the pile into a dust pan and dump it into a trash receptacle.
Vacuum the corners and any other area covered with the dust. The vacuum will pick up what the broom couldn't. Vacuum any cracks in between the pieces of hardwood flooring.
Mop the hardwood floor with clean water and a sponge mop. Don't use soap. The mop should not be used if a large amount of dust is still on the floor. If you mop the dust, the water will just move the dust around. Change the water in the mop bucket whenever it begins to look cloudy. Wring out the mop and rinse it thoroughly to ensure it picks up the dust each time you use it. If the floor looks milky white, continue mopping until the whiteness is gone.
Allow the floor to dry completely before refinishing.
Avoid using excessive amounts of water on unfinished hardwoods. The water will get down in between the cracks and warp the wood. If the floor is finished, the amount of water used doesn't matter. Wear a dust mask while sweeping to protect lungs.