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Question

What is the quotient and remainder when $ 5018 $ is divided by $ 7 $ ?

Answer

The quotient is 716 and the remainder is 6.

Explanation
Division Table
 0716
75018
–0   
 50  
–49  
  11 
  –7 
   48
  –42
    6
STEP 0:
set up a division table
     
75018
STEP 1: DIVIDE
5 : 7 = 0 with a remainder of 5
 0   
75018
STEP 2: MULTIPLY
0 · 7 = 0
 0   
75018
 0   
STEP 3: SUBTRACT
5 - 0 = 5
 0   
75018
–0   
 5   
STEP 4: BRING DOWN
 0   
75018
–0   
 50  
STEP 5: DIVIDE
50 : 7 = 7 with a remainder of 1
 07  
75018
–0   
 50  
STEP 6: MULTIPLY
7 · 7 = 49
 07  
75018
–0   
 50  
 49  
STEP 7: SUBTRACT
50 - 49 = 1
 07  
75018
–0   
 50  
–49  
  1  
STEP 8: BRING DOWN
 07  
75018
–0   
 50  
–49  
  11 
STEP 9: DIVIDE
11 : 7 = 1 with a remainder of 4
 071 
75018
–0   
 50  
–49  
  11 
STEP 10: MULTIPLY
1 · 7 = 7
 071 
75018
–0   
 50  
–49  
  11 
   7 
STEP 11: SUBTRACT
11 - 7 = 4
 071 
75018
–0   
 50  
–49  
  11 
  –7 
   4 
STEP 12: BRING DOWN
 071 
75018
–0   
 50  
–49  
  11 
  –7 
   48
STEP 13: DIVIDE
48 : 7 = 6 with a remainder of 6
 0716
75018
–0   
 50  
–49  
  11 
  –7 
   48
STEP 14: MULTIPLY
6 · 7 = 42
 0716
75018
–0   
 50  
–49  
  11 
  –7 
   48
   42
STEP 15: SUBTRACT
48 - 42 = 6
 0716
75018
–0   
 50  
–49  
  11 
  –7 
   48
  –42
    6
STEP 15: SUBTRACT
48 - 42 = 6
 0716
75018
–0   
 50  
–49  
  11 
  –7 
   48
  –42
    6
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