Those silly Frenchmen. They come up with the fanciest names for the some of the most pedestrian techniques. A “supreme” is nothing more than a section. Here’s how you do it.
Cut off the top so that the orange flesh is visible. It might be 1/2 an inch, or slightly more if the pith is especially thick.
Now cut off the same amount from the bottom so that the orange sits flat.
Now cut from top to bottom curving the knife to the shape of the orange. Repeat all the way around until all you have left is a bright orange, fleshy ball.
Next, cut in between the white sections, placing your knife as close to the white membrane as possible, and slicing to the core. If you follow the membrane, you’ll see that you’re cutting out wedges.
And there you have it: Orange Supremes.
Why would you want orange supremes? Because they’re purdy. Oh, I guess I should say joli.