I regularly need to print a document that takes the top half of an 8 1/2 by 11 sheet of paper. I end up folding the page in half after it's printed so that I can store it easier.
It recently occurred to me that cutting the paper in half before the printing would let me save money on computer paper.
I'm going to be cutting the paper in half 'hamburger'-wise, not 'hotdog' style.
See the following image:

I've tested my HP laserjet and it takes the half sheets without issue.
What happens to the extra toner, though, if a page gets printed that has a full page of text while the printer is still loaded with these half-sheets?
Does the toner disperse in the printer? Does it get reclaimed? Is this harmful or safe?