Wait for the stove top to completely cool.
Spray oven cleaning spray onto the burnt plastic and wait 10 minutes.
Scrape the plastic away gently using a plastic window scraper. If this won't scrape away the residue, use a razor blade. Do so gently and with great caution so as not to scratch the surface. Wipe away the excess cleanser and residue with a damp sponge.
Mix 1 tablespoon each of white vinegar and liquid dish soap into a cup of warm water. Dip a cloth into this solution wipe the stove top with the cloth. Rinse with clear water and dry the area with a lint-free cloth.
Squirt a few drops of stove top cleaner onto a paper towel. Rub the cleaner onto the stove top using circular strokes. Wait five minutes and wipe off the dried cleaner using a clean paper towel.