When a positive integer is divided by a negative integer, the quotient will be negative.
This is due to the rule of signs in division: if you divide a positive number by a negative number, the result is negative. For example, if you divide \(6\) (a positive integer) by \(-3\) (a negative integer), the result is \(-2\).
In summary, the quotient has a negative sign when a positive integer is divided by a negative integer.