Dig around the base of the elephant ear plant once the foliage begins to die back after the first light freeze. Dig down below the bulb then slide the trowel under it and lift it from the soil. Some breakage of the small roots on the bottom of the bulb is fine and doesn't cause any damage to the plant.
Cut back the foliage to within 1 inch of the top of the bulb. Leave the roots attached to the bottom of the bulb.
Spread the bulbs out on a sheet of newspaper in a cool, dry room away from bright light. Dry for five to 10 days then brush the excess soil from the roots.
Coat the bulbs with a fungicidal dust, following package application instructions. Most dusts are applied by placing the dust in a paper sack. Place the bulbs in the sack with the dust then shake the sack until the bulbs are coated.
Bury the bulbs in a box filled with dried peat moss. Store them in a dry, 50 degree Fahrenheit location until you are ready to replant them in spring.