Division practice

Division by a decimal divisor

Divide by a decimal divisor in problems with exact whole-number quotients, using an equivalent calculation with a whole-number divisor.

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Move the divisor’s decimal point enough places to make it a whole number. Move the dividend’s decimal point the same number of places, then divide the equivalent values.

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Learning objective

What this activity builds

Scale both operands by the same power of ten and recover an exact whole-number quotient.

Worked example

What is 57.6 ÷ 2.4?

24.

Multiply both values by 10 to get 576 ÷ 24. This is 24, and the check 2.4 × 24 = 57.6 confirms the original division. The quotient is exact; no rounding step is needed.

Teaching notes

Make the practice count

  • Write the same scale factor beside both operands before moving either decimal point.
  • Use a multiplication check on the original values, not only the scaled calculation.

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Math SheetNameScore/ 9TeacherDateDecimal Divisor DivisionShift both decimal points by the same number of places, then divide.1.4.17.653Equivalent whole-numberequation: 3567 ÷ 41--2.5.72.502Equivalent whole-numberequation: 2052 ÷ 57--3.3.66.921Equivalent whole-numberequation: 1296 ÷ 36--4.3.86.452Equivalent whole-numberequation: 2546 ÷ 38--5.1.55.91Equivalent whole-numberequation: 195 ÷ 15--6.8.00.69Equivalent whole-numberequation: 960 ÷ 80--7.7.75.291Equivalent whole-numberequation: 1925 ÷ 77--8.7.10.312Equivalent whole-numberequation: 2130 ÷ 71--9.2.33.902Equivalent whole-numberequation: 2093 ÷ 23--math-sheet.comPage 1 / 1

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Choose two- or three-digit divisor coefficients with one or two decimal places. Scale both operands by the same power of ten, then divide. Every generated quotient in this activity is an exact whole number; arbitrary decimal quotients and rounded answers are outside its scope.