Supreming an orange is a technique used to remove orange segments from a whole orange without any peel or membrane. First, you stand the orange upright with the stem at the top. With a sharp knife, cut the top and bottom off the orange. Next, with the orange upright, slice from top to bottom removing both the peel and the membrane, following the curve of the orange. Continue all around the orange until all the peel is removed. Once that is done, the individual orange segments are visible. Use a paring knife to slice out each segment, remaining close to the membranes to remove as much of the orange segment as possible. Continue all the way around the orange until all segments are removed from the fruit.