**As we read earlier, 9 is a magic number. **

**And there must be something unique when we divide any number by 9. We are going to learn a method with which we can easily and quickly find the quotient and remainder in one line.**

**Let’s learn this with few examples.** *Example 1 and Example 2 covers simple examples and Example 3 covers special case where there are carries while finding the answers.*

**To find remainder:**

** Step 1: Find the digit sum of all digits of dividend. **Digit Sum.

**Remainder is this digit sum.**

**To find quotient : We move from left to right.**

*Step 1: The left most digit of quotient is the leftmost digit of dividend itself.*

*Step 2: The next right digit of quotient is the sum of above number in step 1 and 2nd next digit in dividend.*

*Repeat this pattern till you reach rightmost digit in dividend. The rightmost digit in dividend is not part of this pattern. *

**Example 1:**

**Example 2:**

**Example 3: ** **Special Case – When there are carries**:

**This method can be extended to any length of number divided by 9.**

Let us practice with more examples:

**Divide the following by 9:**

a. 74 | b. 578 | c. 764 |

d. 32 | e. 45781 | f. 456789999 |