Final answer:
Dividing 56 by -23 gives a quotient of -2.43, following the rule that division of two numbers with different signs results in a negative quotient.
Step-by-step explanation:
The question involves division of two numbers, which is a fundamental concept in mathematics. To divide 56 by -23, we follow the standard rules of division for integers. You divide the absolute values and then apply the rule for the division of numbers with different signs, which results in a negative quotient if the signs are different. Dividing 56 by 23 gives us the quotient of 2 with a remainder. The decimal part can be computed by further dividing the remainder by 23.
Therefore, the division of 56 by -23 is:
56 ÷ (-23) = -2.43 (rounded to two decimal places).
It's important to remember the rules for significant figures during division, particularly when working with non-integer numbers. In this case, the numbers are integers and the quotient should be reported using the appropriate precision.