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Hey!… that’s good work man, better than my first try at smoothing up the heel. And if you want you can polish it to a brilliant shine… but don’t over do it… lololol.
Plenty of tips in the Wiki on...

It’s the same wet dry paper you use to sand (remove rust/tarnish) the blade, available at the nearest auto supply. The grit you start with depends on how much “smoothing” you want to do… 600 is a...

Why not wrap (or glue) a strip of Silicon Carbide sand paper around a ruler and use that as you would a file to smooth the heel? Sounds safer to me… for you and the blade.
Start with 600 grit.