If your stove has removable coil burners, you can clean them using a product called TSP, or trisodium phosphate. The cleaner comes in powder form that is mixed with water. Using the TSP, you can scrub the burners with steel wool to remove grease and food particles. Once the burners are clean, rinse them in hot, soapy water and allow them to dry completely.
Even if you regularly keep the top surface of your stove clean, you may neglect the removable parts like the pans that fit underneath the burners and the burners themselves. Take the parts off the stove, and place them in a plastic bag in the sink. Fill the bag with equal parts of warm water and ammonia, and allow the parts to soak for an hour. Tie the bag so the fumes do not fill the room. Remove the parts from the bag, and rinse them with clean water. Use a razor blade to scrape off any stubborn food particles, and let the pieces dry completely before putting them back in place.
For the painted area of your stovetop, use a nonabrasive bathroom cleaner, such as tub and tile cleaner and a sponge. These types of products are powerful enough to scrub off food splatters but will not damage the smooth painted surface on your stove. The cleaners will also leave the paint with a shine.
Sometimes your stove top needs a little extra scrubbing without a harsh abrasive cleaner. The best way to accomplish a result similar to an abrasive without damaging the surface is to use baking soda. Baking soda and warm water form a paste that, with the help of a sponge, allows you to scrub off the toughest stains without damaging the finish. In addition to the scouring power, baking soda helps to deodorize and clean the surface.