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Multiplication & Division

Idea 20of 24Builds onDivision finds a missing side

Divide in friendly chunks

How do you divide 336 by 14 without a times table for 14?

Today you'll discover

  • what a friendly chunk is
  • how to keep track of what is left
  • why bigger chunks still work

Think first336 ÷ 14: the first chunk

336 ÷ 14: take away 10 × 14 = 140 first. How much is left to divide?

Decide first, then press Next. Keep track of what is left after each chunk.

The rectangle for 336 ÷ 14 with its first part, 10 × 14 = 140, and the column 336 minus 140 is 196. Then the other parts, 10 × 14 and 4 × 14, and the column down to 0; then 10 + 10 + 4 = 24. Then the same division in two parts, 20 × 14 = 280 and 4 × 14 = 56, still 24. The last step shows 432 ÷ 18.

See the whole ideathe big idea and the key word, in one place

The big idea

Take away friendly chunks of the divisor, then add up how many you took.

336 ÷ 14 in chunks

Each chunk is a part of the rectangle.

  1. 10 × 14140
  2. 10 × 14140
  3. 4 × 1456
  4. 24 × 14336

Where it goes nextFriendly chunks are easy facts: 10, 20, 5 or 2 of the divisor. Each one is a piece of the area model.

Key word

partial quotient
one friendly chunk of the answer, like the 10 in 10 × 14 = 140

Ready to use it?

  • Divide a three-digit number by a two-digit number in chunks.
  • Connect each chunk to a part of the area model.
Practise this idea