Wait until the dishwasher is cool. If the dishwasher has been recently run, wait at least an hour with the door open for the appliance to cool down. The heating coil gets very hot.
Remove any and all dishes from the dishwasher. Remove both the top and bottom dish racks.
Break off any and all large items attached to the heating coil -- melted plastic, for example. This may not be applicable or possible, but be sure to check.
Scrape off any stubborn messes on the coil with a razor blade. Be careful with the razor blade.
Mix a 1:1 solution of baking soda and water in a small bowl. Dip the steel wool in the solution and scrub the heating coil.
Replace the racks in the dishwasher. Pour 2 cups of white vinegar into the dishwasher and run a normal cycle. The vinegar will cleanse the inside of the dishwasher and remove any odors.