Use a large chef’s knife to slice off both ends of the orange. Make sure you’ve cut through all of the pith and can see some of the orange flesh.
Angle your knife and follow the round shape of the orange to remove the peel. Be careful not to cut too much of the orange flesh away.
Here’s where it’s a little tricky: cut right on the inside of each membrane line to remove a segment. You don’t want to cut right on the membrane, but just inside of it. Make the two angled cuts, and the segment will pop right out.
Keep cutting inside each membrane line to remove the sections of the orange. And that’s it: beautiful orange segments with no tough pith!