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Foundations · Level 4

Multiply & divide

Bigger multiplications and long division, step by step.

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The idea

Multiply big numbers in parts. Divide one place at a time, from the left.

×3042060080618024
×3042060080618024

Look: 34 × 26 in a grid: 600 + 80 + 180 + 24 = 884.

✏️ Your turn!

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  1. 123 × 14 = ?

  2. 2756 ÷ 6 = ?

  3. 345 × 12 = ?

! Careful!

  • ✗Treating the 2 in 26 as 2.

    ✓It means 20.

  • ✗Forgetting a 0 in the answer: 11.

    ✓When a place gives nothing, write 0: 110.

See the whole lesson on one page

Multiply big numbers in parts. Divide one place at a time, from the left.

For 34 × 26, split both numbers: 30 and 4, 20 and 6. Multiply every pair and add. To check a division, multiply back.

Think of it like thisA big jigsaw is easier in small pieces. 34 × 26 is just four small times sums put together.

Remainder
What is left over after sharing.
×3042060080618024
×3042060080618024
34 × 26 in a grid: 600 + 80 + 180 + 24 = 884.

Solved together

Question

884 chalk sticks are shared by 8 classes. How many does each class get?

  1. Start from the left. 8 hundreds ÷ 8 = 1 hundred.

    8 ÷ 8 = 1
  2. 8 tens ÷ 8 = 1 ten.

    8 ÷ 8 = 1
  3. 4 ones ÷ 8: none fit. Write 0, and 4 are left over.

    884 ÷ 8 = 110, left over 4
  4. Check: 110 × 8 + 4 = 884. ✓

AnswerEach class gets 110, with 4 left over.

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Kanakku makes new questions on multiply & divide every time. It shows the working and gives a hint when you are stuck.

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