Long Division, Step by Step
672 biscuits, 3 classes, nobody left short. You can do this on paper in four moves — and know exactly why each one works.
Show me the movesWorked example — Long Division, Step by Step
Watch it done — every move with its why
Divide: 672 ÷ 3
- Take the 6 first: 6 ÷ 3 = 2. Write 2 above the 6.
We divide the biggest place value first — the hundreds — so every later digit inherits a clean remainder.
- Bring down the 7: 7 ÷ 3 = 2 remainder 1. Write 2, carry the 1.
The leftover 1 is not lost — it is one whole ten waiting to join the next digit.
- The carried 1 joins the 2 → 12. And 12 ÷ 3 = 4.
That is what carrying MEANS: ten ones moving down a place to be shared there.
- Check: 224 × 3 = 672 ✓
Multiplication undoes division — if it returns your start, the work is sound.
Answer672 ÷ 3 = 224
The idea — Long Division, Step by Step
Divide the biggest place first, and carry what is left down to the next.
Every step has a reason — that is why you can rebuild it, not just recite it.
Questions about Long Division, Step by Step
How do you do long division step by step?
Divide the biggest place value first, write the result above it, then bring down the next digit and repeat, carrying any remainder to the next digit.
What is 672 divided by 3?
672 ÷ 3 = 224. You can check this because 224 × 3 = 672.
Why do you divide the biggest place value first in long division?
Dividing the biggest place value first means every later digit inherits a clean remainder to work with.
How do you check a long division answer?
Multiply the answer by the divisor; if it returns the original number, the division is correct, as shown with 224 × 3 = 672.
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