Watching people peel an orange Is a painful experience for me.
There seem to be two camps…
One way looks more like they're picking a scab then preparing a piece of fruit to eat.
The other looks like they're carving a piece of wood.
Don't know where I learned this technique for peeling oranges - Maybe from my high school girlfriend whose family owned an orange grove- because all of my family are either scab picking peelers or wood carving peelers… neither of which make any sense to me at all.
Here's a little video I made for you showing how to peel an orange my way.