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Long Division with Remainders: Six Problems

Find the quotient and remainder for six long-division problems. Use the completed page to check the results.
Pages
2
File type
PDF

Updated Jul 31, 2021

Subject
Multiplication, Multiplication and Division, Maths
Resource types
Worksheets, Worksheets & Printables
England expectations
Official curriculum expectation · Multiplication and division

From the author

About this resource

Find the quotient and remainder for six long-division problems. Use the completed page to check the results.

  • Six long-division problems with leftovers
  • Quotient-and-remainder response practice
  • Completed checking page

Curriculum reference — England: Long-division method alone does not establish Grade or Year; actual values matter. OCR confirms568/3 through735/4: three-digit dividends, one-digit divisors and remainders. Year5 short-division scope includes the supplied three-by-one-digit calculations and remainder interpretation. Selected skills only; reference stage is not an overall reading age, complete curriculum coverage, or an automatic recommendation for every learner.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Calculate a whole-number quotient and remainder
  • Verify division by rebuilding the dividend

Teaching tips

  • Compare the final leftover with the divisor; it must be smaller.
  • Check by multiplying the quotient and adding the remainder.

Skills covered

  • Long division — applying repeated division steps
  • Remainder notation — recording the undivided amount

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National Curriculum in England

National Curriculum in England expectations

England expectations

  • Official curriculum expectation · Multiplication and division — divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

Core concepts

  • Long division with remainders
  • Quotients and remainders

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