Since the kids have to explain everything in the new CCSS math standards,
they better have this under their belt, even if they have to learn it and parrot
it out in some test or other (careful, cynicism is not always just round the
So, here is a long division calculation for you, 32 divided into 2768, or if you
prefer the old fashioned, only used in schools notation, 2768 <the old
fashioned division sign, not on my keyboard> 32. (and < and > are not
representing inequalities at this point).
Division is at bottom repeated subtraction, so we do it:-
32)2768 100×32 = 3200 is too big
2560 so take a smaller multiple (in 10’s)
—— Choose from 90×32=2870, 80×32=2560 (OK!)
208 and subtract,leaving 208, and 10×32=320
192 So try 6×32=192 (OK!). 7×32 is too much.
—- Subtract again, leaving 16,which is less
16 than 32 and so is the remainder.
So 2768 = 90×32 + 6×32 + remainder,
which is 96×32 + 16,
and so 2768 divided by 32 is 96 with remainder 16