🔢 MathGrade 2Lesson 21
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Learn Division as Sharing

Lesson preview: the Mini Lesson and Vocabulary are open to everyone. Guided practice, exercises, the parent checklist and the printable PDF worksheet come with full access (free 7-day trial or membership).

Learning Objectives

  • 1Explain that division means sharing a total equally
  • 2Decide whether a sharing scenario gives an equal share
  • 3Find the share size for simple divisions (÷2, ÷3, ÷4)
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Mini Lesson

Have you ever shared cookies with friends so everyone gets the same number? That is division! Division means splitting a total into equal groups so each group (or each person) gets the same amount.

The key idea

  • Division asks: "If I share this many things among this many people equally, how many does each person get?"
  • Example: 12 cookies shared among 3 friends → 12 ÷ 3 = 4 cookies each.
  • The ÷ symbol means "divided by" or "shared among."

Equal share vs. not equal share

  • Equal share: everyone ends up with the same number. 12 ÷ 3 = 4 — each friend gets 4.
  • Not equal share: at least one person ends up with a different number. 13 cookies among 3 friends → 4, 4, 5 — not equal.

How to check

  • Divide the total by the number of people.
  • If the total divides exactly (no leftovers), it is an equal share.
  • If there are leftovers, it is not an equal share.

Simple examples

  • 10 ÷ 2 = 5 — equal share
  • 15 ÷ 3 = 5 — equal share
  • 20 ÷ 4 = 5 — equal share
  • 11 ÷ 2 = 5 remainder 1 — not equal share
12 cookies shared equally among 3 friendsThree plates each holding 4 cookie circles. Below: 12 divided by 3 equals 4 each — equal share with no leftovers.12 cookies ÷ 3 friends = 4 eachFriend 14 eachFriend 24 eachFriend 34 each12 ÷ 3 = 4 → Equal shareNo leftovers — every friend gets 4
Three plates each holding 4 cookies — 12 ÷ 3 = 4 each. Equal share with no leftovers.
Equal share versus not equal share examplesLeft column: three equal-share examples — 10 divided by 2, 15 divided by 3, 20 divided by 4. Right column: three not-equal-share examples with 1 leftover each. How-to-check steps at the bottom.Equal shareNot equal10 ÷ 2 = 515 ÷ 3 = 520 ÷ 4 = 511 ÷ 2 = 5 r1leftover: 113 ÷ 3 = 4 r1leftover: 17 ÷ 2 = 3 r1leftover: 1How to check:1. Divide total by number of people.2. No leftovers → equal share3. Any leftover → not equal share
Left — three equal-share divisions. Right — three not-equal-share divisions with 1 leftover each.
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Ask yourself: "Can I share this total exactly with no leftovers? If yes, it is an equal share!"

Vocabulary
Division
Splitting a total into equal groupse.g. 12 ÷ 3 means dividing 12 into 3 equal groups.
Equal share
When everyone gets the same amounte.g. Three friends with 12 cookies get an equal share of 4 each.
Total
The whole amount you start withe.g. The total is 12 cookies.
Share
To split items so everyone gets somee.g. We share the cookies between friends.
Remainder
What is left over when a number does not divide evenlye.g. 11 ÷ 2 = 5 with a remainder of 1.
Divide
To split into equal partse.g. We divide the apples into three groups.
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← Lesson 20: Practice Skip CountingLesson 22: Relate Division to Multiplication →