Long multiplication with a 3-digit number: step-by-step example
22 October 2026
Long multiplication with 3-digit numbers can seem tricky at first, but breaking it down into steps helps your child see the pattern. Here is a clear example to show how each part of the calculation fits together.
Worked example
Find 234 × 6.
Step 1: Write the numbers in columns. Put 234 on top and 6 underneath, making sure the digits are lined up.
Step 2: Start with the units. 6 × 4 = 24. Write 4 in the units column. Carry the 2 to the next column.
Step 3: Now the tens. 6 × 3 = 18. Add the 2 you carried. 18 + 2 = 20. Write 0 in the tens column. Carry the 2 to the next column.
Step 4: Now the hundreds. 6 × 2 = 12. Add the 2 you carried. 12 + 2 = 14. Write 14 in the hundreds and thousands columns.
The correct answer is 1,404.
| Step | Calculation | Result | Carry |
|---|---|---|---|
| Units | 6 × 4 | 24 | 2 |
| Tens | 6 × 3 + 2 | 20 | 2 |
| Hundreds | 6 × 2 + 2 | 14 |
Key insight: By following each step, your child will spot how to handle carrying numbers and lining up columns. Now they can recognise this method and are ready to practise similar long multiplication questions.
