Division
Division is splitting a quantity into equal parts or groups. It tells how many times one number is contained in another or what each part size is when dividing.
Terminology
Knowing the key terms helps follow division steps and explain problems clearly.
| English Word(s) | English Word(s) |
|---|---|
| dividend | divisor |
| quotient | remainder |
| English Example | English Explanation |
|---|---|
| 🌳 The tree has 12 apples divided into 4 baskets. | The total amount is called the dividend (12 apples). |
| 🧺 Each basket has 3 apples. | The amount in each group is the quotient (3 apples). |
| 👩🌾 There are 4 baskets. | The number of groups is the divisor (4 baskets). |
| 🍎 2 apples are left on the ground. | The leftover is the remainder (2 apples). |
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Symbol
The division symbol ÷ or slash / shows division, while a fraction bar can also represent division between numerator and denominator.
| English Example | English Explanation |
|---|---|
| 🧑🌾 12 apples ÷ 4 baskets = 3 apples per basket. | Division is written with the ÷ symbol between dividend and divisor. |
| 🍎 12 ÷ 5 = 2 remainder 2. | Remainder is shown after the quotient or as "r" notation. |
| 📊 12/4 = 3. | Division can also be written as a fraction or slash. |
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Basic Concept
Division asks how many equal groups can be made or what size each group is when dividing a total by a number.
| English Example | English Explanation |
|---|---|
| 🧑🌾 If 12 apples are divided into 4 baskets, each gets 3 apples. | Division splits a total into equal groups. |
| 🍎 12 apples shared by 6 friends means each friend gets 2 apples. | Division finds the size of each group or number of groups. |
| 🧺 If each basket has 3 apples, 4 baskets hold 12 apples. | Division relates to multiplication as inverse operations. |
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Examples
| English Example | English Explanation |
|---|---|
| 🧑🌾 12 ÷ 4 = 3 | Divide 12 apples into 4 baskets, 3 apples each. |
| 🍎 15 ÷ 5 = 3 | 15 apples into 5 baskets equals 3 per basket. |
| 🧺 20 ÷ 4 = 5 | 20 apples divided into 4 baskets gives 5 apples each. |
| 🍏 13 ÷ 4 = 3 remainder 1 | 13 apples in 4 baskets: 3 apples each and 1 leftover. |
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Long Division
Long division breaks a division problem into steps dividing, multiplying, subtracting, and bringing down digits to find the quotient and remainder.
| English Example | English Explanation |
|---|---|
| 🧑🌾 4 into 12 goes 3 times. | Divide the first part of dividend by divisor. |
| 🍎 3 times 4 is 12, subtract to get 0. | Multiply and subtract to find remainder. |
| 🧺 Bring down the next number if present. | Continue division with next digit. |
| 🍏 Result is 3 with no remainder. | Final quotient after division process. |
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Word Problems
Division word problems describe real situations like sharing or grouping, and require identifying the dividend, divisor, and what the question asks.
| English Example | English Explanation |
|---|---|
| 👩🌾 There are 24 apples and 6 baskets. How many apples per basket? | Total and groups given, find apples per group. |
| 🧑🍳 If each basket has 4 apples, how many baskets are there with 24 apples? | Group size and total given, find number of groups. |
| 🍎 Sarah has 25 apples and 4 baskets. How many apples will remain? | Division with remainder in context. |
| 🧺 If 3 baskets are filled with 5 apples each, how many apples are there? | Multiplication check for division problem. |
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Summary
Division splits a quantity into equal parts, and key terms like dividend and divisor name each role in the problem.
Last updated: Tue Sep 16, 2025