Long Division Example ( Enter your problem )
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division

4. Long Division





1. Find division of `331` and `5`

Solution:

Solution is
  66
5331
30 =5 × 6
  31
 30=5 × 6
  1

`:.` 331 `-:` 5= 66 Remainder 1
5 table
5×1=5
5×2=10
5×3=15
5×4=20
5×5=25
5×6=30
5×7=35
5×8=40
5×9=45
5×10=50




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
    
5331

Step-2 :
5 goes into 33 (6-times). Put a 6 in the next place of quotient and multiply 5 by 6 to get 30.
Subtract 30 from 33 to get remainder `(33-30=3)`.


  6 
5331
30 =5 × 6
  3 

Step-3 :
Now, bring down 1 from the dividend, to make 31
  6 
5331
30 =5 × 6
  31

Step-4 :
5 goes into 31 (6-times). Put a 6 in the next place of quotient and multiply 5 by 6 to get 30.
Subtract 30 from 31 to get remainder `(31-30=1)`.


  66
5331
30 =5 × 6
  31
 30=5 × 6
  1


2. Find division of `3717` and `14`

Solution:

Solution is
  265
143717
28  =14 × 2
  91 
 84 =14 × 6
  77
  70=14 × 5
  7

`:.` 3717 `-:` 14= 265 Remainder 7
14 table
14×1=14
14×2=28
14×3=42
14×4=56
14×5=70
14×6=84
14×7=98
14×8=112
14×9=126
14×10=140




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
     
143717

Step-2 :
14 goes into 37 (2-times). Put a 2 in the next place of quotient and multiply 14 by 2 to get 28.
Subtract 28 from 37 to get remainder `(37-28=9)`.


  2  
143717
28  =14 × 2
  9  

Step-3 :
Now, bring down 1 from the dividend, to make 91
  2  
143717
28  =14 × 2
  91 

Step-4 :
14 goes into 91 (6-times). Put a 6 in the next place of quotient and multiply 14 by 6 to get 84.
Subtract 84 from 91 to get remainder `(91-84=7)`.


  26 
143717
28  =14 × 2
  91 
 84 =14 × 6
  7 

Step-5 :
Now, bring down 7 from the dividend, to make 77
  26 
143717
28  =14 × 2
  91 
 84 =14 × 6
  77

Step-6 :
14 goes into 77 (5-times). Put a 5 in the next place of quotient and multiply 14 by 5 to get 70.
Subtract 70 from 77 to get remainder `(77-70=7)`.


  265
143717
28  =14 × 2
  91 
 84 =14 × 6
  77
  70=14 × 5
  7


3. Find division of `71689` and `19`

Solution:

Solution is
  3773
1971689
57   =19 × 3
 146  
133  =19 × 7
  138 
 133 =19 × 7
  59
  57=19 × 3
  2

`:.` 71689 `-:` 19= 3773 Remainder 2
19 table
19×1=19
19×2=38
19×3=57
19×4=76
19×5=95
19×6=114
19×7=133
19×8=152
19×9=171
19×10=190




Step by step solution

Step by step solution :
Step-1 :
Set up the problem with long division bracket. Put dividend inside bracket and divisor on outside left.
      
1971689

Step-2 :
19 goes into 71 (3-times). Put a 3 in the next place of quotient and multiply 19 by 3 to get 57.
Subtract 57 from 71 to get remainder `(71-57=14)`.


  3   
1971689
57   =19 × 3
 14   

Step-3 :
Now, bring down 6 from the dividend, to make 146
  3   
1971689
57   =19 × 3
 146  

Step-4 :
19 goes into 146 (7-times). Put a 7 in the next place of quotient and multiply 19 by 7 to get 133.
Subtract 133 from 146 to get remainder `(146-133=13)`.


  37  
1971689
57   =19 × 3
 146  
133  =19 × 7
  13  

Step-5 :
Now, bring down 8 from the dividend, to make 138
  37  
1971689
57   =19 × 3
 146  
133  =19 × 7
  138 

Step-6 :
19 goes into 138 (7-times). Put a 7 in the next place of quotient and multiply 19 by 7 to get 133.
Subtract 133 from 138 to get remainder `(138-133=5)`.


  377 
1971689
57   =19 × 3
 146  
133  =19 × 7
  138 
 133 =19 × 7
  5 

Step-7 :
Now, bring down 9 from the dividend, to make 59
  377 
1971689
57   =19 × 3
 146  
133  =19 × 7
  138 
 133 =19 × 7
  59

Step-8 :
19 goes into 59 (3-times). Put a 3 in the next place of quotient and multiply 19 by 3 to get 57.
Subtract 57 from 59 to get remainder `(59-57=2)`.


  3773
1971689
57   =19 × 3
 146  
133  =19 × 7
  138 
 133 =19 × 7
  59
  57=19 × 3
  2





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