**Number Dojo Level: 16**

**Dividing Whole Numbers**

Once again, we need to know some basic definitions or terms within a division problem. The

**dividend**, in the world of finance, is passive income from your investments. In math, it's the big number you start with--the number you're dividing into smaller pieces. The

**divisor**is the number you're dividing by, and the

**quotient**is the answer.

- Work from left to right. See how many times the divisor "goes into" the first digit of the dividend. If it fits, write that number down and remember any remainder; then mentally put the remainder in front of the next digit to create a 2-digit number. If it doesn't fit, instead look at the first two digits of the dividend and move on to step 2.
- See how many times the divisor "goes into" that 2-digit number. If it fits, write how many times it fits & remember any remainder; then mentally put the remainder in front of the next digit.
- Repeat and continue until you have moved through each digit of the dividend.

**Example 1: 730 ÷ 5**

- See how many times 5 goes into the 7. The answer is 1, with a remainder of 2. Write down the
**1**and mentally put the 2 in front of the 3 to get 23. - See how many times 5 goes into 23. 5 x 4 = 20 and 5 x 5 = 25 (too large), so write down the
**4**(after the 1) and put the remainder of 3 in front of the 0 to get 30. - See how many times the 5 goes into 30: 6 times. Write the
**6**at the end. Your quotient is**146**.

**Example 2: 268 ÷ 4**

- See how many times 4 goes into the 2. Since it doesn't fit, look at the 26 instead.
- See how many times 4 goes into 26. We know that 4 x 6 = 24 and 4 x 7 = 28. 28 is too big, so we use the
**6**. There is a remainder of 2. - Now put that 2 remainder in front of the 8 to make 28. You've already established that 4 goes into 28 --
**7**times. Write that 7 after your 6 to get your quotient:**67**.

**Example 3: 114 ÷ 19**

- Sometimes the divisor is so large that you can't divide into the first digit or the first two digits of the dividend. In cases like this, I save time by estimating.
- Since I know that 19 is almost 20, I can quickly determine that 20 goes into 114 -- 5 times. (5 x 20 = 100). 5 is too small to be our quotient.
- 6 x 20 = 120, so the answer could be 6. I check my answer by multiplying 6 x 19. My brain does that from left to right: 6 x 10 = 60; 6 x 9 = 54. 60 + 54 = 114 (our dividend). The quotient is
**6**.

**How NOT to divide whole numbers:**

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

divwhole.pdf |

**Up Next for Middle School: Mult25**