**Elementary School Number Sense Lesson 28: Finding the Remainder When Dividing by 5**

This concept appeared only

**4 times**this year, with a median placement at

**question # 13**. It creates the foundation for several other remainder concepts, so it’s important to learn.

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To find the remainder when dividing a number by 5, we need only be concerned about the

**last digit**of the number. Every digit to the left of the units digit is

*itself*divisible by 5:

- 10 (or a multiple)
- 100 (or a multiple)
- 1000 (or a multiple), etc.

**How to Solve:**

- Consider the units digit
- If the number is < 5, write it down—you have your remainder. If the number is ³ 5, subtract 5 and write down the result.

**Example 1: 634 ÷ 5 has a remainder of ___**

- Look at the units digit:
**4** - 4 < 5, so write down
**4**as your answer

**Example 2: 4247 ÷ 5 has a remainder of ___**

- Look at the units digit:
**7** - 7 > 5, so subtract 5 to get
**2**, which is your answer

**Example 3: 20583 ÷ 5 has a remainder of ___**

- Look at the units digit:
**3** - 3 < 5, so write down
**3**as your answer

**Example 4: 19745 ÷ 5 has a remainder of ___**

- Look at the units digit:
**5** - 5 ³ 5, so subtract 5 to get
**0**, which is your answer

**Example 5: 72439 ÷ 5 has a remainder of ___**

- Look at the units digit:
**9** - 9 > 5, so subtract 5 to get
**4**, which is your answer

**Example 6: 4574730 ÷ 5 has a remainder of ___**

- Look at the units digit:
**0** - 0 < 5, so write down
**0**as your answer

**Up Next for Elementary School: Square41-50**