A whole-number division situation can be represented as , where is the dividend, the divisor, the number of complete groups, and the amount left over, with . The remainder’s meaning depends on the context: it may be unused items, indicate that another group or unit is needed, or be disregarded when only complete groups count; it is not automatically appended to the quotient.
When you divide whole numbers, write the result as
where:
The remainder must be less than the divisor: .
Example: A teacher has pencils and puts pencils in each box. How many full boxes can she make, and how many pencils are left?
Divide by :
Check the division using the equation:
Interpret the numbers:
So, the teacher can make 6 full boxes with 5 pencils left.
The remainder is not automatically added to the quotient. If the question asked how many boxes are needed to hold all the pencils, the 5 leftover pencils would require one more box, so the answer would be 7 boxes.
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