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Question

What is the quotient and remainder when $ 500 $ is divided by $ 227 $ ?

Answer

The quotient is 2 and the remainder is 46.

Explanation
Division Table
   002
227500
  –0  
   50 
   –0 
   500
  –454
    46
STEP 0:
set up a division table
      
227500
STEP 1: DIVIDE
5 : 227 = 0 with a remainder of 5
   0  
227500
STEP 2: MULTIPLY
0 · 227 = 0
   0  
227500
   0  
STEP 3: SUBTRACT
5 - 0 = 5
   0  
227500
  –0  
   5  
STEP 4: BRING DOWN
   0  
227500
  –0  
   50 
STEP 5: DIVIDE
50 : 227 = 0 with a remainder of 50
   00 
227500
  –0  
   50 
STEP 6: MULTIPLY
0 · 227 = 0
   00 
227500
  –0  
   50 
    0 
STEP 7: SUBTRACT
50 - 0 = 50
   00 
227500
  –0  
   50 
   –0 
   50 
STEP 8: BRING DOWN
   00 
227500
  –0  
   50 
   –0 
   500
STEP 9: DIVIDE
500 : 227 = 2 with a remainder of 46
   002
227500
  –0  
   50 
   –0 
   500
STEP 10: MULTIPLY
2 · 227 = 454
   002
227500
  –0  
   50 
   –0 
   500
   454
STEP 11: SUBTRACT
500 - 454 = 46
   002
227500
  –0  
   50 
   –0 
   500
  –454
    46
STEP 11: SUBTRACT
500 - 454 = 46
   002
227500
  –0  
   50 
   –0 
   500
  –454
    46
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