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Question

What is the quotient and remainder when $ 500 $ is divided by $ 459 $ ?

Answer

The quotient is 1 and the remainder is 41.

Explanation
Division Table
   001
459500
  –0  
   50 
   –0 
   500
  –459
    41
STEP 0:
set up a division table
      
459500
STEP 1: DIVIDE
5 : 459 = 0 with a remainder of 5
   0  
459500
STEP 2: MULTIPLY
0 · 459 = 0
   0  
459500
   0  
STEP 3: SUBTRACT
5 - 0 = 5
   0  
459500
  –0  
   5  
STEP 4: BRING DOWN
   0  
459500
  –0  
   50 
STEP 5: DIVIDE
50 : 459 = 0 with a remainder of 50
   00 
459500
  –0  
   50 
STEP 6: MULTIPLY
0 · 459 = 0
   00 
459500
  –0  
   50 
    0 
STEP 7: SUBTRACT
50 - 0 = 50
   00 
459500
  –0  
   50 
   –0 
   50 
STEP 8: BRING DOWN
   00 
459500
  –0  
   50 
   –0 
   500
STEP 9: DIVIDE
500 : 459 = 1 with a remainder of 41
   001
459500
  –0  
   50 
   –0 
   500
STEP 10: MULTIPLY
1 · 459 = 459
   001
459500
  –0  
   50 
   –0 
   500
   459
STEP 11: SUBTRACT
500 - 459 = 41
   001
459500
  –0  
   50 
   –0 
   500
  –459
    41
STEP 11: SUBTRACT
500 - 459 = 41
   001
459500
  –0  
   50 
   –0 
   500
  –459
    41
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