An easy way to get grease off a black stove top is to sprinkle some baking soda onto the grease on the black stove top.
Then spray the baking soda with some vinegar or pour some vinegar onto the baking soda and grease and allow it to sit for 10 to 20 minutes.
The vinegar will react with the baking soda and help lift the grease off the stove.
Then use a sponge to wipe up the grease and baking soda and vinegar.
If the grease is really stubborn you may need to use some more vinegar and baking soda to clean the extra grease off the black stove top.
The baking soda and vinegar also works to clean grease off other surfaces as well.
You can also use some degreaser to help get the grease off the black stove top or other stove.