Division How to divide a three digit number by a one digit number (e.g. 416 ÷ 7). Place the divisor before the division bracket and place the dividend (416) under it. ```       7)416 ``` Examine the first digit of the dividend(4). It is smaller than 7 so it can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket. ```    5  7)416 ``` Multiply the 5 by 7 and place the result (35) below the 41 of the dividend. ```    5  7)416   35 ``` Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 6 from the 416 and place it to the right of the other 6. ```    5  7)416   35    66 ``` Divide 66 by 7 and place that answer above the division bracket to the right of the five. ```    59 7)416   35    66 ``` Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 66. Subtract 63 from 66 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over. ```    59 R 3 7)416   35    66    63     3 ``` Return to Top

#### What is the Quotient and Remainder?

 /     =   R