Skip to content

From KidosLab

From KidosLab

For parents and teachers

DivisionGrades 3–5

Long division when the school method looks different

Different layouts can show the same calculation. Compare what the numbers mean, then choose between work on equal groups, a compact written method, or long division with each subtraction shown.

Division · Grades 3–5 · 6 min readFor parents and teachers · Published 14 November 2026

Practice sheet

At the classroom door after math, Ms Patel is handed Sam's homework: 156 ÷ 12. Beside it, a parent has written, “We got 13, but our steps look different.” She puts the homework next to the class example before changing a mark.

Compare the meaning before changing the layout

One page might subtract several groups at once. Another might show a subtraction beneath each part of the number. The writing looks different because the methods record different amounts of working, not necessarily because one calculation is wrong.

Put the two examples side by side. Ask, “Where does this number come from, and what does it stand for?” Avoid moving digits just to make the pages look alike: that can hide a change from tens to ones.

The examples here divide exactly. Start with that kind of question so you can focus on the layout.

From KidosLab

Which starting point fits the homework?

  1. 1. Can your child show 20 ÷ 5 as four groups of five?

    • Yes: go to question 2
    • No: Start with the Grade 3 example. Use marks on paper to show what the division asks before working in columns.

  2. 2. Do you have a completed example of the method used in class?

    • Yes: go to question 3
    • No: Ask for a completed class example. Meanwhile, use the Grade 5 grouped-subtraction example to explain the calculation without choosing a new layout for the homework.

  3. 3. Does the class example draw equal groups (marks or circles) rather than a written layout?

  4. 4. Does the class example show a subtraction line after each answer digit?

    • Yes: Use the Grade 5 long-division example. Follow the written subtraction lines and name the value of each leftover.
    • No: go to question 5

  5. 5. Does the class example subtract whole groups, such as 120 and then 36 from 156?

    • Yes: Use the Grade 5 grouped-subtraction example. Keep a separate record of how many groups each subtraction removes.
    • No: go to question 6

  6. 6. Does the class example carry small leftover numbers beside the next digit?

    • Yes: Use the Grade 4 short-division example. Pay attention to what each small carried number is worth.
    • No: Ask the teacher, “What does each mark in this completed question mean?” Keep the child's existing working rather than guessing what an unfamiliar mark means.

Grade 3: show what the division means

Work it through

There are 20 pencils. Each pot holds 5 pencils. How many pots can be filled? Work out 20 ÷ 5.

  1. Draw 20 short marks to stand for the pencils.
  2. Circle five marks at a time. Count the circles, rather than counting the marks again.
  3. There are four circles, so four pots can be filled.
  4. Write 5 × 4 = 20 beside 20 ÷ 5 = 4. The multiplication rebuilds the total from the groups.

Answer: 20 ÷ 5 = 4. Four pots can be filled.

Grade 4: follow the small carried number

Work it through

Work out 84 ÷ 3 using short division: a compact layout that records small leftovers rather than separate subtraction lines.

  1. Write 3 to the left of a division bracket and 84 inside it. Leave space above 84 for the answer.
  2. Start with the 8 tens. Share them into three equal groups: each group gets 2 tens, with 2 tens left. Write 2 above the 8.
  3. The leftover 2 tens are worth 20 ones. Combine them with the 4 ones to make 24 ones. Write a small 2 above and just to the left of the 4 to show the 2 tens being carried forward.
  4. Share 24 ones into three equal groups. Each gets 8 ones. Write 8 above the 4, giving the answer 28.

Answer: 84 ÷ 3 = 28.

At Sam's desk, name the groups

Ms Patel asks Sam what the answer 13 means in his homework. He says it means thirteen groups of twelve.

That gives them something to compare across both pages. The next question is where each page records those thirteen groups.

From KidosLab

Grade 5: long division, one line at a time

Work it through

Sam's homework is 156 ÷ 12. Show each subtraction in a long-division layout.

  1. Write 12 to the left of a division bracket and 156 inside it. Leave room above 156 for the answer.
  2. Start from the left. The first digit, 1, is less than 12, so use the first two digits, 15. Here, that 15 stands for 15 tens.
  3. 12 fits into 15 once. Write 1 above the 5, in the tens place of the answer. It stands for ten groups of twelve.
  4. Calculate 1 × 12 = 12. Write 12 directly beneath 15 and subtract: 15 − 12 = 3. In these columns, the 12 means 12 tens and the leftover 3 means 3 tens.
  5. Bring the final digit, 6, down beside the 3. The 3 tens and 6 ones make 36 ones.
  6. 36 ÷ 12 = 3. Write 3 above the 6, in the ones place of the answer.
  7. Write 36 beneath the 36 and subtract to get zero. Read the answer above the bracket: 13.

Answer: 156 ÷ 12 = 13.

Grade 5: compare a method that takes groups away

If the class example takes away whole groups, start with ten groups of twelve: 10 × 12 = 120. Subtract 120 from 156 to leave 36, and write “10 groups” beside that subtraction.

Next, take away three groups of twelve: 3 × 12 = 36. Subtract 36 to leave zero, and write “3 groups” beside that line. Add the group counts, 10 + 3, to get 13.

This is the same calculation as Sam's long division. The 12 written beneath 15 in that layout stands for 12 tens, or 120; it matches the first subtraction here. Compare those amounts, rather than expecting the written lines to look identical.

When to ask the teacher for help

If your child can explain the groups but still cannot follow the class layout, send a copy of the working with the first confusing line marked. Ask the teacher to label what that number stands for and show the next step.

If making equal groups is still unclear with marks on paper, ask the teacher or school which starting point to use. Keep the request specific: “Can we see one question worked from the groups through to the written answer?”

Leave the useful working on the page

Back at the classroom table, Ms Patel leaves the parent's working beside Sam's. Sam labels the first subtraction on each page “10 groups” and points to the three groups still to come. He can now continue in the class layout without crossing out the other explanation.

Quick check: Grade 3 equal groups

  1. 1Draw 15 marks. Circle groups of 5. How many groups are there? Write 15 ÷ 5.

    There are 3 groups. 15 ÷ 5 = 3.

    1. Draw 15 marks. Circle groups of 5. How many groups are there? Write 15 ÷ 5.

    Answer: There are 3 groups. 15 ÷ 5 = 3.

  2. 2Draw 10 marks. Circle groups of 2. How many groups are there? Write 10 ÷ 2.

    There are 5 groups. 10 ÷ 2 = 5.

    2. Draw 10 marks. Circle groups of 2. How many groups are there? Write 10 ÷ 2.

    Answer: There are 5 groups. 10 ÷ 2 = 5.

From KidosLab

Was this guide helpful?

Back to top

Ready to practice?

Put it into practice with a free printable worksheet, Kindergarten to Grade 8. No account, no sign-up.

Find a worksheet