Negative division

[mighty sky]

How does the negative division works, what will be the reminder and quotient when -5 is divided by 4. Also what will be the absolute result of -5/4
Asking this, as some suggest when -5 is divided by 4, quotient is -2 and reminder is 3, and other suggest quotient is -1 and reminder is -1.

[vale cosmos]

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[opaque lagoon]

-5/4 = ?

4 * ? = -5

? Has to be negative

[blazing smelt]

Suppose you have $\frac{-a}{b} or \frac{a}{-b}$ this is the same as -1*$\frac{a}{b}

[opaque lagoon]

But by definition remainder cannot be negative

[gray nacelle]

r•eⁱˣ = r•cos(x) + ri•sin(x)
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[blazing smelt]

Oh wait you meant remainder mb

Suppose you have -5/4

This equals -1.25
The largest whole number lower than this is -2
-2 = -8/4
-5 - (-8) = 3
Remainder is 3

[wanton whale]

yep they cannot be negative

but usually if they asked you for remainder both numerator and denominator are both positive

[mighty sky]

That's correct.

[mighty sky]

Are you suggeting, that there are two methods, one for only finding reminder and one for acutally division ?

[brittle pine]

3 and -2

Remainders by definition are not negative

[brittle pine]

It's the same method.