Mix equal parts white vinegar and warm water in a clean, empty spray bottle.
Spray the solution onto the stove.
Moisten a folded paper towel with white vinegar, and sprinkle a teaspoon of baking soda onto the moist towel.
Scrub off the soot with the moistened paper towel. The vinegar will cut through the grime, and the baking soda is a gentle abrasive.
Spray the stove with the vinegar solution once more, and wipe it off with a clean paper towel to remove any lingering residue.
Mix 1 tablespoon of sudsy ammonia into 1 cup of warm water in a spray bottle.
Spray the stove with the solution. Wait five minutes for the ammonia solution to cut through the soot.
Wipe the stove clean with paper towels.