From the haskell report:

The quot, rem, div, and mod class methods satisfy these laws if y is non-zero:

(x `quot` y)*y + (x `rem` y) == x
(x `div`  y)*y + (x `mod` y) == x

quot is integer division truncated toward zero, while the result of div is truncated toward negative infinity.

For example:

Prelude> (-12) `quot` 5
-2
Prelude> (-12) `div` 5
-3

What are some examples of where the difference between how the result is truncated matters?

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