**Middle School Number Sense Lesson 6: Dividing Multiples**

Questions involving dividing multiples showed up 8 times on middle school tests this year--usually as question #3 or #4. At a glance, these can look difficult. But with a little practice, they only take a few seconds to solve. For free practice, be sure to download Number Dojo and the worksheet below!

**Number Dojo Level: 12**

**How it Works**

In these questions, the dividend is usually made up pairs of digits, each pair being a multiple of the divisor. So you may see a question like

**2424 ÷ 6 = ___**. Notice that 24 is a multiple of 6. Your task will be to determine the quotients when you split the dividend into pairs, making sure you have the right # of digits in your answer.

**Method A (Long division):**

- 6 goes into 24 four times; write the
**4**. - 6 goes into 2 zero times; write the
**0**next. - 6 goes into 24 four times; write the
**4**last. - Your answer is
**404**.

**Method B (The new way):**

- 6 goes into 24 four times; write the
**4**. - 6 goes into 24 four times; write
**04**.*You must remember to write this 0 because you're using pairs of digits. If you forget the 0, you are saying 6 x 44 = 264 (not 2424).* - Your answer is
**404**.

**Example 1: 6464 ÷ 8**

- 8 goes into 64 eight times; write the
**8**. - 8 goes into 64 eight times; write
**08**. - Your answer is
**808**.

**Example 2: 63672 ÷ 6**

- This question is a bit different. 6 goes into 6 one time; write the
**1**. - 6 goes into 36 six times; write
**06**. - 6 goes into 72 twelve times; write
**12**. - Your answer is
**10612**.

**Example 3: 65,065 ÷ 13**

- 65 ÷ 13 =
**5**. Write this down. - 0 ÷ 13 =
**0**. Write this next. - 65 ÷ 13 =
**05**. Write this at the end. - Your answer is
**5005**.

**Example 4: 913542 ÷ 7**

- 91 ÷ 7 =
**13**; write this down. - 35 ÷ 7 =
**05**; write this next. - 42 ÷ 7 =
**06**; write this at the end. - Your answer is
**130506**.

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

divmultiples.pdf |

**Up Next for Middle School: ConvDeciFrac**