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
    
    






What is the Quotient and Remainder?

  /     =   R