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