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Question

What is the quotient and remainder when $ 8888888 $ is divided by $ 8 $ ?

Answer

The quotient is 1111111 and the remainder is 0.

Explanation
Division Table
 1111111
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 0      
STEP 0:
set up a division table
        
88888888
STEP 1: DIVIDE
8 : 8 = 1 with a remainder of 0
 1      
88888888
STEP 2: MULTIPLY
1 · 8 = 8
 1      
88888888
 8      
STEP 3: SUBTRACT
8 - 8 = 0
 1      
88888888
–8      
 0      
STEP 4: BRING DOWN
 1      
88888888
–8      
 8      
STEP 5: DIVIDE
8 : 8 = 1 with a remainder of 0
 11     
88888888
–8      
 8      
STEP 6: MULTIPLY
1 · 8 = 8
 11     
88888888
–8      
 8      
 8      
STEP 7: SUBTRACT
8 - 8 = 0
 11     
88888888
–8      
 8      
–8      
 0      
STEP 8: BRING DOWN
 11     
88888888
–8      
 8      
–8      
 8      
STEP 9: DIVIDE
8 : 8 = 1 with a remainder of 0
 111    
88888888
–8      
 8      
–8      
 8      
STEP 10: MULTIPLY
1 · 8 = 8
 111    
88888888
–8      
 8      
–8      
 8      
 8      
STEP 11: SUBTRACT
8 - 8 = 0
 111    
88888888
–8      
 8      
–8      
 8      
–8      
 0      
STEP 12: BRING DOWN
 111    
88888888
–8      
 8      
–8      
 8      
–8      
 8      
STEP 13: DIVIDE
8 : 8 = 1 with a remainder of 0
 1111   
88888888
–8      
 8      
–8      
 8      
–8      
 8      
STEP 14: MULTIPLY
1 · 8 = 8
 1111   
88888888
–8      
 8      
–8      
 8      
–8      
 8      
 8      
STEP 15: SUBTRACT
8 - 8 = 0
 1111   
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 0      
STEP 16: BRING DOWN
 1111   
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
STEP 17: DIVIDE
8 : 8 = 1 with a remainder of 0
 11111  
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
STEP 18: MULTIPLY
1 · 8 = 8
 11111  
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
 8      
STEP 19: SUBTRACT
8 - 8 = 0
 11111  
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 0      
STEP 20: BRING DOWN
 11111  
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
STEP 21: DIVIDE
8 : 8 = 1 with a remainder of 0
 111111 
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
STEP 22: MULTIPLY
1 · 8 = 8
 111111 
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
 8      
STEP 23: SUBTRACT
8 - 8 = 0
 111111 
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 0      
STEP 24: BRING DOWN
 111111 
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
STEP 25: DIVIDE
8 : 8 = 1 with a remainder of 0
 1111111
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
STEP 26: MULTIPLY
1 · 8 = 8
 1111111
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
 8      
STEP 27: SUBTRACT
8 - 8 = 0
 1111111
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 0      
STEP 27: SUBTRACT
8 - 8 = 0
 1111111
88888888
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 8      
–8      
 0      
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