My stove is a smooth top and I had stuff I couldn't get off even with a razor blade. I found this on Pinterest and it actually works like a charm without too much labor.
1.Bowl & Hot Soapy Water 2.Baking Soda 3.A Cleaning Rag 4.Gloves
Fill a bowl with hot tap water & mix it with some dish soap. Submerge the rag in the bowl and get it wet. Apply baking soda in a generous amount all over the affected area. Now pull out that hot soapy rag out of the bowl and squeeze half the water out. You want it to be soggy, not sopping. Then wait about 15 minutes.