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Question

What is the quotient and remainder when $ 5927 $ is divided by $ 8 $ ?

Answer

The quotient is 740 and the remainder is 7.

Explanation
Division Table
 0740
85927
–0   
 59  
–56  
  32 
 –32 
   7 
  –0 
   7 
STEP 0:
set up a division table
     
85927
STEP 1: DIVIDE
5 : 8 = 0 with a remainder of 5
 0   
85927
STEP 2: MULTIPLY
0 · 8 = 0
 0   
85927
 0   
STEP 3: SUBTRACT
5 - 0 = 5
 0   
85927
–0   
 5   
STEP 4: BRING DOWN
 0   
85927
–0   
 59  
STEP 5: DIVIDE
59 : 8 = 7 with a remainder of 3
 07  
85927
–0   
 59  
STEP 6: MULTIPLY
7 · 8 = 56
 07  
85927
–0   
 59  
 56  
STEP 7: SUBTRACT
59 - 56 = 3
 07  
85927
–0   
 59  
–56  
  3  
STEP 8: BRING DOWN
 07  
85927
–0   
 59  
–56  
  32 
STEP 9: DIVIDE
32 : 8 = 4 with a remainder of 0
 074 
85927
–0   
 59  
–56  
  32 
STEP 10: MULTIPLY
4 · 8 = 32
 074 
85927
–0   
 59  
–56  
  32 
  32 
STEP 11: SUBTRACT
32 - 32 = 0
 074 
85927
–0   
 59  
–56  
  32 
 –32 
   0 
STEP 12: BRING DOWN
 074 
85927
–0   
 59  
–56  
  32 
 –32 
   7 
STEP 13: DIVIDE
7 : 8 = 0 with a remainder of 7
 0740
85927
–0   
 59  
–56  
  32 
 –32 
   7 
STEP 14: MULTIPLY
0 · 8 = 0
 0740
85927
–0   
 59  
–56  
  32 
 –32 
   7 
   0 
STEP 15: SUBTRACT
7 - 0 = 7
 0740
85927
–0   
 59  
–56  
  32 
 –32 
   7 
  –0 
   7 
STEP 15: SUBTRACT
7 - 0 = 7
 0740
85927
–0   
 59  
–56  
  32 
 –32 
   7 
  –0 
   7 
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