What are the four division rules for negative and positive integers?

The rule regarding the division of integers states that when you divide a negative number by a negative number, the result is indeed a positive number. This is aligned with the overall mathematical principles governing signs during division (and multiplication). The logic behind this is that dividing two negatives can be thought of as removing the negative sign, leading to a positive result.

For example, if you consider dividing -8 by -4, the division effectively asks, "How many times does -4 fit into -8?" Since both numbers are negative, their negatives cancel each other out, resulting in a positive 2. This same principle applies universally across all negative values. Understanding this concept is essential for performing operations with positive and negative integers effectively.