No tricks... just do the unfolding mentally. I've never really found a need to number those holes or whatnot, but anyways.
You know the last fold was symmetrical, so there are 4 holes (which makes it much, much easier), you unfold it down, there are now 8 across the entire middle. Unfold it again, and now there should be a hole in every square (you should even visualize holes in squares 1 and 16 even if there are no paper there to keep things consistant, or at least I do, then when u unfold what was supposed to be there, you can mentally subtract those holes in your head if the unfolded part has no hole). Now you unfold the two corner, and theyll have holes too since 6 and 11 had holes and they were folded on top of each other. So at the end, every square has a hole.
This one took about 10 seconds. If you hole punched 6 and 3 instead of 2367, then this would probably take 3x as long.