**Middle School Number Sense Level 97: Finding the Remainder when Dividing by 3**

This concept works the same way as

**RemainDiv9**. It appeared

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

**question # 7**.

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**Number Dojo Level: 81**

**How to Solve:**

- Add all the digits in the number (excluding any multiples of 3).
- If the sum of the digits is greater than 9, add the digits of the sum.
- Repeat step 2 until you have a one-digit number.
- Divide by 3 to calculate the remainder.

**Example 1: 568 ÷ 3 has a remainder of ___**

- Add the digits (ignoring the 6 because it is a multiple of 3).
- 5 + 8 =
**13**. - Add the digits (ignoring the 3 because it is a multiple of 3). The answer is
**1**.

**Example 2: 1475**

**÷ 3 has a remainder of ___**

- Add the digits: 1 + 4 + 7 + 5 =
**17**. - Add the digits: 1 + 7 =
**8**. - 8 ÷ 3 = 2 remainder
**2**.

**Example 3: 1413 ÷ 3 has a remainder of ___**

- Add the digits (ignoring the 3).
- 1 + 4 + 1 =
**6**. - 6 ÷ 3 = 2 remainder
**0**.

**Example 4: 98765 ÷ 3 has a remainder of ___**

- Add the digits (ignoring the 9 and 6).
- 8 + 7 + 5 =
**20**. - Add the digits: 2 + 0 =
**2**. This is your answer.

**Example 5:**

**234567 ÷ 3 has a remainder of ___**

- Add the digits (ignoring the 3 and 6).
- 2 + 4 + 5 + 7 =
**18**. - Add the digits: 1 + 8 =
**9** - 9 ÷ 3 = 3 remainder
**0**.

**Here's a free worksheet to help you practice RemainDiv3:**

remaindiv3.pdf |

**Up Next for Middle School: Mult37**