First, you start with a a whole fruit. Larger specimens are easier to handle so pick the largest tangerines, oranges etc as possible.
Next, cut off the very top and bottom of the fruit.
Then, peel the fruit using a knife.
You want to follow the shape of the fruit like so:
Continue until all of the peel is gone. If the peel or pith was especially thick or your fruit wasn’t symmetrical, you might end up with a slightly misshapen fruit. It really won’t make much of a difference.
Then you want to put you knife between the membrane and the fruit segment. Cut, repeat for the other side and remove the fruit. Repeat for the rest of the segments.
Voila! A naked fruit segment.