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Division: Sharing Equally

Medium⏱ 20 min
Sweets sorted into equal groups to show sharing in division
📷 soapylovedeb · CC BY 2.0

an into . The (÷) is used to this. For , 12 ÷ 3 = 4 12 into 3 4 in each .

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and are . If 4 × 3 = 12, then 12 ÷ 3 = 4 and 12 ÷ 4 = 3. They are a !

A fact family triangle card linking multiplication and division
📷 Demonio Solitario 666 · CC BY-SA 4.0
MultiplicationDivision
3 × 4 = 1212 ÷ 3 = 4
4 × 3 = 1212 ÷ 4 = 3
A fact family: the same three numbers (3, 4, 12) make two × facts and two ÷ facts.

There are two to . : 12 between 3 4 each. : how many of 3 are in 12? The is 4 way — 12 ÷ 3 = 4.

12 ÷ 3 = 4🍬🍬🍬🍬🍬🍬🍬🍬🍬🍬🍬🍬12 ÷ 3 = 4
12 sweets shared into 3 equal groups (the rows) — 4 in each group. So 12 ÷ 3 = 4.

🔗 Match each division to its answer.

  • 20 ÷ 4

  • 18 ÷ 3

  • 24 ÷ 6

  • 35 ÷ 7

You can also of as . 15 ÷ 5 : how many can you 5 from 15? 15 − 5 = 10, 10 − 5 = 5, 5 − 5 = 0. You 5 3 , so 15 ÷ 5 = 3.

A number line with equal backward jumps showing repeated subtraction
📷 Wikimedia Commons · CC0
Number line from 0 to 15051015−5−5−5
15 ÷ 5 as repeated subtraction: three equal jumps of 5 from 15 reach 0. So 15 ÷ 5 = 3.

🧩 Use repeated subtraction for 20 ÷ 5. Put the steps in order.

  1. 5 − 5 = 0 — that was 4 jumps, so the answer is 4
  2. 10 − 5 = 5
  3. 15 − 5 = 10
  4. 20 − 5 = 15
  5. Start at 20

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To , of the . For 28 ÷ 4, ask: "4 what 28?" 4 × 7 = 28, so 28 ÷ 4 = 7.

🃏 Flip a card to recall the division fact.

Tap each card to see the answer.

does not out . For , 13 ÷ 4 = 3 1. You can 13 into 4 of 3 with 1 over. We this as 3 r 1.

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You by . There is no way to a of into — it does not make !

A row of cubes split into two equal halves to show halving
📷 Quist161 · CC BY-SA 4.0

🗂️ Sort each calculation: does it divide exactly, or does it have a remainder?

  • 12 ÷ 4

  • 11 ÷ 3

  • 20 ÷ 5

  • 17 ÷ 2

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is by 2. of 18 is 9, because 18 ÷ 2 = 9. If a is even, it into a .

✍️ Complete these divisions.

24 ÷ 4 = , and 14 ÷ 4 = 3 .

Quiz time! 📝

Division Quiz

Question 1 of 5

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What is 18 ÷ 3?

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