If I have to find the quotient q and the remainder r and:(adsbygoogle = window.adsbygoogle || []).push({});

a = -5286

b = 19

How do I go about writing down the steps for this algorithm? I know what the answer will be, but I need to be able to use the division algorithm to prove my answer. Like I know if:

b > 0 and a < 0 (which in this case is true),

then since -a > 0, a = (-q)b - r (where 0 <= r < b).

But how would I know that q is equal to -279 and that the remainder is 15? (Pretending that I didn't the know answer already.)

Thanks.

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# Division Algorithm

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