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Question

What is the quotient and remainder when $ 462 $ is divided by $ 14 $ ?

Answer

The quotient is 33 and the remainder is 0.

Explanation
Division Table
  033
14462
 –0  
  46 
 –42 
   42
  –42
    0
STEP 0:
set up a division table
     
14462
STEP 1: DIVIDE
4 : 14 = 0 with a remainder of 4
  0  
14462
STEP 2: MULTIPLY
0 · 14 = 0
  0  
14462
  0  
STEP 3: SUBTRACT
4 - 0 = 4
  0  
14462
 –0  
  4  
STEP 4: BRING DOWN
  0  
14462
 –0  
  46 
STEP 5: DIVIDE
46 : 14 = 3 with a remainder of 4
  03 
14462
 –0  
  46 
STEP 6: MULTIPLY
3 · 14 = 42
  03 
14462
 –0  
  46 
  42 
STEP 7: SUBTRACT
46 - 42 = 4
  03 
14462
 –0  
  46 
 –42 
   4 
STEP 8: BRING DOWN
  03 
14462
 –0  
  46 
 –42 
   42
STEP 9: DIVIDE
42 : 14 = 3 with a remainder of 0
  033
14462
 –0  
  46 
 –42 
   42
STEP 10: MULTIPLY
3 · 14 = 42
  033
14462
 –0  
  46 
 –42 
   42
   42
STEP 11: SUBTRACT
42 - 42 = 0
  033
14462
 –0  
  46 
 –42 
   42
  –42
    0
STEP 11: SUBTRACT
42 - 42 = 0
  033
14462
 –0  
  46 
 –42 
   42
  –42
    0
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