Quotient
Mark Waddingham
mark at livecode.com
Tue Jun 25 04:09:39 EDT 2019
On 2019-06-24 21:26, Richmond via use-livecode wrote:
> But it is not much cop when it comes to finding
> the quotient of some long and complicated bit of Mathematics.
Perhaps not, but it is what you asked for...
28 div 3 = 9
28 mod 1 = 1
28 / 3 = 9 + 1/3
301 div 10 = 30
301 mod 10 = 1
301/10 = 30 + 1/10
44 div 6 = 7
44 mod 6 = 2
44/6 = 7 + 2/6 = 7 + 1/3
More generally given X and Y you can rewrite X/Y as a 'quotient and a
remainder' by defining:
Q := X div Y
R := X mod Y
Then you have that:
X/Y = Q + R/Y
Just as when a human does such a computation R/Y can be often be reduced
(if R and Y have any common factors) - i.e. by eliminating their
greatest common divisor.
Warmest Regards,
Mark.
--
Mark Waddingham ~ mark at livecode.com ~ http://www.livecode.com/
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