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Question

What is the quotient and remainder when $ 5432 $ is divided by $ 7 $ ?

Answer

The quotient is 776 and the remainder is 0.

Explanation
Division Table
 0776
75432
–0   
 54  
–49  
  53 
 –49 
   42
  –42
    0
STEP 0:
set up a division table
     
75432
STEP 1: DIVIDE
5 : 7 = 0 with a remainder of 5
 0   
75432
STEP 2: MULTIPLY
0 · 7 = 0
 0   
75432
 0   
STEP 3: SUBTRACT
5 - 0 = 5
 0   
75432
–0   
 5   
STEP 4: BRING DOWN
 0   
75432
–0   
 54  
STEP 5: DIVIDE
54 : 7 = 7 with a remainder of 5
 07  
75432
–0   
 54  
STEP 6: MULTIPLY
7 · 7 = 49
 07  
75432
–0   
 54  
 49  
STEP 7: SUBTRACT
54 - 49 = 5
 07  
75432
–0   
 54  
–49  
  5  
STEP 8: BRING DOWN
 07  
75432
–0   
 54  
–49  
  53 
STEP 9: DIVIDE
53 : 7 = 7 with a remainder of 4
 077 
75432
–0   
 54  
–49  
  53 
STEP 10: MULTIPLY
7 · 7 = 49
 077 
75432
–0   
 54  
–49  
  53 
  49 
STEP 11: SUBTRACT
53 - 49 = 4
 077 
75432
–0   
 54  
–49  
  53 
 –49 
   4 
STEP 12: BRING DOWN
 077 
75432
–0   
 54  
–49  
  53 
 –49 
   42
STEP 13: DIVIDE
42 : 7 = 6 with a remainder of 0
 0776
75432
–0   
 54  
–49  
  53 
 –49 
   42
STEP 14: MULTIPLY
6 · 7 = 42
 0776
75432
–0   
 54  
–49  
  53 
 –49 
   42
   42
STEP 15: SUBTRACT
42 - 42 = 0
 0776
75432
–0   
 54  
–49  
  53 
 –49 
   42
  –42
    0
STEP 15: SUBTRACT
42 - 42 = 0
 0776
75432
–0   
 54  
–49  
  53 
 –49 
   42
  –42
    0
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