What is the result of a negative number divided by a negative number?

When a negative number is divided by another negative number, the result is a positive number. This is because division can be thought of as the inverse of multiplication, and a negative number multiplied by a negative number yields a positive number.

For instance, if you take -2 and divide it by -1, you can think of this operation as asking how many times -1 fits into -2. The answer, in this case, is 2, which is positive.

This principle is consistent across all negative numbers. Hence, when dividing negative by negative, the signs cancel each other out, leading to a positive outcome. This concept is critical in mathematics and helps in understanding various operations involving negative numbers.