- #1

- 8

- 0

When I do the long division for -101 / 13, my first step is -7 which comes out to -91 and so I have left -10.

Shouldn't this be where the calculation stops?

One of the thoughts I had was that as -13 is smaller than -10, I should go one step further and subtract -13 from -10 to get +3. and that's why the mod is 3.

If that is correct, could someone please explain why?

If that is incorrect, could someone please explain how we get 3 instead of 10?

Thanks for any help.