Long Division Worksheet

Students divide three- and four-digit numbers by one-digit divisors, check each answer by multiplying, and decide what a remainder means in two stories.

Format

Only the colour PDF is ready for this resource so far. The other formats are on the way.

At a glance
Years
5–6
Pages
4
A4
Type
Worksheet
Includes
Answer key
Answer key included

Last updated

Long division with one-digit divisors

Twelve long division problems take students from three-digit to four-digit dividends, all with divisors from 3 to 9 and separate spaces for the quotient and remainder. The opening example works 857 ÷ 6 step by step, then checks it with 142 × 6 + 5 = 857. Watch the four problems that need a zero in the quotient, such as 913 ÷ 7 = 130 R3. Two stories end the set by asking what a remainder means, including why 143 people need 18 vans that seat 8, not 17.

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Students will

Learning objectives

  • Divide three- and four-digit numbers by a one-digit divisor using long division.
  • Write a zero in the quotient when the divisor does not go into the number being divided.
  • Check a quotient by multiplying it by the divisor and adding the remainder.
  • Decide whether a remainder means rounding up or something left over in a word problem.
From the creator

Teaching tips

1

Watch problem 5, 913 ÷ 7. When the last 3 is brought down and 7 does not go into it, students often stop at 13 R3 instead of 130 R3. The check shows it at once: 13 × 7 + 3 is 94, not 913.

2

Before students answer the van story, ask what happens to the 7 people left over. Most write 17 from the quotient alone; the "Why not 17?" line makes them say why one more van is needed.

Differentiation

Meet every learner.

Ways to adjust the 14 problems for different students.

Support

Start with the table

  • Have students copy the divide, multiply, subtract, bring down table from the worked example and fill it in for problems 1 to 3.
  • Start with problems 1, 4 and 8, which have no remainder.
  • Give a multiplication chart for the divisors 3 to 9.
On level

Teach as written

  • All three parts, starting from the worked example.
  • Students do the check on every problem, not only on problems 2 and 9.
Extension

Bigger divisors and new stories

  • Divide 5,183 by 14 and check it the same way.
  • Write a story for 143 ÷ 8 where the answer is 17, not 18.
  • Find a one-digit divisor that divides 9,524 with no remainder.

Curriculum alignment.

Each one is checked against the official document. Where the resource covers only part of a standard, the note says so.

England national curriculum, Mathematics · Years 5–7
Year 5Number - multiplication and division

Students divide three- and four-digit numbers by a one-digit number, check each answer by multiplying back, and decide what a remainder means in two word problems (round up for vans, leave over for seeds). The file sets the work out in the long "bring down" layout rather than the short division layout the curriculum names.

Good to know.

Which numbers does it use?

Dividends from 466 to 9,524 and one-digit divisors from 3 to 9. There are no two-digit divisors.

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Used it in class? Your notes help another teacher plan.

Long Division Worksheet · 4 pages
Long Division Worksheet: a worked 857 ÷ 6 example with a divide, multiply, subtract, bring down table, then three division boxes and a check line
Page 1 of 4 · Page 1
Long Division Worksheet: six dashed work boxes for three- and four-digit dividends with answer and remainder lines, plus a check-it strip
Page 2 of 4 · Page 2
Long Division Worksheet: three more four-digit division boxes and two remainder story problems about vans for a trip and garden rows
Page 3 of 4 · Page 3
Long Division Worksheet: answer key table with each quotient, remainder and multiplication check, plus the story answers and a teacher tip
Page 4 of 4 · Page 4
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