text: Long Division Tutorial,How to do Long Division
  
  This long division tutorial section demonstrates some examples of how to do  LONG  division.
  
  Despite being a bit tedious at times, LONG  division is actually fairly similar to SHORT  division in principle.
  
  It really doesn't have to be as intimidating as some people often believe.
  
  Long Division Tutorial,How to do Long Division Examples
  
  (1.1)
  
  798 &div 21
  
  Solution
  
  We start out setting up the same way as with  Short Division.
  
  21  798
  
  1)
  
  Firstly,  21  does not go into  7,  so like with short division, a  0  goes above.
  
  0
  21  798
  
  2)
  
  Now, we look at dividing  79  by  21.
  
  At this point, forget the remainder, just establish how many times  21  will go into  79.
  
  21 × 3  =  63,      LESS THAN 79
  21 × 4  =  84,      MORE THAN 79
  
  So ignoring any remainder just now,  21  goes into  79  three times.
  So  3  goes above now.
  
  03
  21  798
  
  3)
  
  Next we take  21 × 3,  which is  63,  and place it under the  79  in the  "DIVIDEND".
  
  03
  21  798
  
  63
  
  Then, subtract this  63  from  79,  and place the result below  63.
  
  03
  21  798
  
  − 63
  16
  
  4)
  
  Now the next number in the "DIVIDEND" is brought down, and written on the end of  16,  here this is  8.
  
  03
  21  798
  
  − 63
  168
  
  Then, we divide  168  by  21,  and place the result above in the answer.
  
  168 ÷ 21 = 8
  038
  21  798
  
  − 63
  168
  
  Now lastly, we subtract  21 × 8  from  168,  which just gives  0,
  and with no more numbers left to bring down in the DIVIDEND,
  this means that the long division is complete.
  
  038
  21  798
  
  − 63
  168
  168
  0
  798 &div 21 = 38
  
  (1.2)
  
  806 &div 18
  
  Solution
  
  This example will feature a "remainder".
  
  1)
  
  Firstly,  18  does not go into  8,  so a  0  goes above the  8.
  
  0
  18  806
  
  2)
  
  Now, ignoring any remainder at this stage,  18  goes into  80  four times, so  4  goes above.
  
  04
  18  806
  
  3)
  
  Now, subtract  18 × 4  from  80.
  
  18 × 4 = 72
  
  04
  18  806
  
  72
  8
  
  4)
  
  Next, the  6  is brought down beside the  8,  to make  86.
  
  04
  18  806
  
  72
  86
  
  Ignoring remainders again at this point,  18  goes into  86  four times, so another  4  is placed above in the answer.
  
  044
  18  806
  
  72
  86
  
  Then, the final step is to subtract  18 × 4  from  86.
  
  18 × 4 = 72
  
  044
  18  806
  
  72
  86
  −72
  14
  
  With no more numbers left to bring down from the "DIVIDEND", our remainder left over is  14.
  
  806 &div 18  =  44 r14
  
  More division help information on Long Division can be seen at mathsonline.org.
  
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