Final answer:
A positive number divided by a positive number is always a positive quotient.
Step-by-step explanation:
A positive number divided by a positive number is always a positive quotient. Its opposite, when divided by a positive number, is always negative. For example, if we divide 6 by 2, we get a positive quotient of 3. On the other hand, if we divide -6 by 2, we get a negative quotient of -3.
In general, if we have a quotient x that is positive, its opposite is -x, which is always negative.
As a result, a negative number is always the negative quotient's opposite.