Unplug the power cord of your refrigerator.
Pop off the front panel at the bottom of the refrigerator to expose the coils. Use a Phillips screwdriver if the panel is held in place by screws.
Vacuum the dust and dirt out of the compartment with the hose attachment of your vacuum cleaner. Be sure to get all of the larger clusters of dust and dirt.
Clean the remaining dust and debris out of the compartment with a brush. Be sure to clean the metal coils themselves thoroughly.
Replace the front panel and plug the refrigerator back in.