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-- Ignore the signs temporarily. -- Divide the numbers. -- The quotient is negative.
You divide the equivalent positive numbers. Then you add a negative sign to the result.
The quotient is negative.
When you divide or multiply positive and negative numbers, you first do the division or multiplication as normal. The next step is to assess whether or not the answer will be negative or positive. If the two numbers of the question were the same (negative and negative or positive and positive) then the answer will be positive. If the two numbers in the question were different (one negative and one positive) then the answer will be negative. Thus, if you divide a negative number by a positive number, the result will be the same as normal division, but the answer will be negative.
You will end up with a positive number. With integers, if you multiply or divide an even amount of negative numbers, the answer will be positive and if you multiply or divide an odd amount, the answer will be negative.