'Integer division in Python

I'm confused about the following integer math in python:

-7/3 = -3 since (-3)*3 = -9 < -7. I understand.

7/-3 = -3 I don't get how this is defined. (-3)*(-3) = 9 > 7. In my opinion, it should be -2, because (-3)*(-2) = 6 < 7.

How does this work?

Solution 1:^[1]

From the documentation:

For (plain or long) integer division, the result is an integer. The result is always rounded towards minus infinity: 1/2 is 0, (-1)/2 is -1, 1/(-2) is -1, and (-1)/(-2) is 0.

The rounding towards -inf explains the behaviour that you're seeing.

Solution 2:^[2]

This is how it works:

int(x)/int(y) == math.floor(float(x)/float(y))

Solution 3:^[3]

Expanding on the answers from aix and robert.

The best way to think of this is in terms of rounding down (towards minus infinity) the floating point result:

-7/3 = floor(-2.33) = -3

7/-3 = floor(-2.33) = -3

Solution 4:^[4]

Python rounds down. 7/3 = 2 (2+1/3) -7/3 = -3 (-2+1/3)

Solution 5:^[5]

/ is used for floating point division // is used for integer division(returns a whole number)

And python rounds the result down

Sources

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Source: Stack Overflow

Solution	Source
Solution 1	NPE
Solution 2	robert
Solution 3	amicitas
Solution 4	Rhand
Solution 5	BattleDrum

'Integer division in Python

Solution 1:[1]

Solution 2:[2]

Solution 3:[3]

Solution 4:[4]

Solution 5:[5]