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What is the quotient and remainder when $ 3239 $ is divided by $ 4 $ ?

Answer

The quotient is 809 and the remainder is 3.

Explanation

Division Table
 0809
43239
–0   
 32  
–32  
  3  
 –0  
  39 
 –36 
   3 
STEP 0:
set up a division table
     
43239
STEP 1: DIVIDE
3 : 4 = 0 with a remainder of 3
 0   
43239
STEP 2: MULTIPLY
0 · 4 = 0
 0   
43239
 0   
STEP 3: SUBTRACT
3 - 0 = 3
 0   
43239
–0   
 3   
STEP 4: BRING DOWN
 0   
43239
–0   
 32  
STEP 5: DIVIDE
32 : 4 = 8 with a remainder of 0
 08  
43239
–0   
 32  
STEP 6: MULTIPLY
8 · 4 = 32
 08  
43239
–0   
 32  
 32  
STEP 7: SUBTRACT
32 - 32 = 0
 08  
43239
–0   
 32  
–32  
  0  
STEP 8: BRING DOWN
 08  
43239
–0   
 32  
–32  
  3  
STEP 9: DIVIDE
3 : 4 = 0 with a remainder of 3
 080 
43239
–0   
 32  
–32  
  3  
STEP 10: MULTIPLY
0 · 4 = 0
 080 
43239
–0   
 32  
–32  
  3  
  0  
STEP 11: SUBTRACT
3 - 0 = 3
 080 
43239
–0   
 32  
–32  
  3  
 –0  
  3  
STEP 12: BRING DOWN
 080 
43239
–0   
 32  
–32  
  3  
 –0  
  39 
STEP 13: DIVIDE
39 : 4 = 9 with a remainder of 3
 0809
43239
–0   
 32  
–32  
  3  
 –0  
  39 
STEP 14: MULTIPLY
9 · 4 = 36
 0809
43239
–0   
 32  
–32  
  3  
 –0  
  39 
  36 
STEP 15: SUBTRACT
39 - 36 = 3
 0809
43239
–0   
 32  
–32  
  3  
 –0  
  39 
 –36 
   3 
STEP 15: SUBTRACT
39 - 36 = 3
 0809
43239
–0   
 32  
–32  
  3  
 –0  
  39 
 –36 
   3 
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