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The result of two numbers being divided together is called the quotient.
If we insist on the condition that all the numbers must be integers... The only way this can happen is if the quotient and one of the other numbers are negative. For example, if the original numbers are -4 and 2, then their sum is -2, and the quotient of -4 divided by 2 is also -2. I believe that's the only integer example of a set of numbers satisfying that criterion.
The quotient
The quotient will be positive.
Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.