Let the burners cool down completely before cleaning. This will help to protect you from being burned.
Fill the kitchen sink with hot, soapy water. Submerge the burners in the water.
Scrub the burners with a nonabrasive plastic scrubber. Rinse them off thoroughly under warm water, then dry completely with a rag before putting them back on the stove.
Clean the burners with a mildly abrasive cleaner and nonabrasive scrubbing pad if they are still dirty. Apply the cleaner to the pad and scrub away the gunk from the burners. Rinse and dry them thoroughly before putting them back on the stove.