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What is the quotient and remainder when $ 3214 $ is divided by $ 5 $ ?

Answer

The quotient is 642 and the remainder is 4.

Explanation

Division Table
 0642
53214
–0   
 32  
–30  
  21 
 –20 
   14
  –10
    4
STEP 0:
set up a division table
     
53214
STEP 1: DIVIDE
3 : 5 = 0 with a remainder of 3
 0   
53214
STEP 2: MULTIPLY
0 · 5 = 0
 0   
53214
 0   
STEP 3: SUBTRACT
3 - 0 = 3
 0   
53214
–0   
 3   
STEP 4: BRING DOWN
 0   
53214
–0   
 32  
STEP 5: DIVIDE
32 : 5 = 6 with a remainder of 2
 06  
53214
–0   
 32  
STEP 6: MULTIPLY
6 · 5 = 30
 06  
53214
–0   
 32  
 30  
STEP 7: SUBTRACT
32 - 30 = 2
 06  
53214
–0   
 32  
–30  
  2  
STEP 8: BRING DOWN
 06  
53214
–0   
 32  
–30  
  21 
STEP 9: DIVIDE
21 : 5 = 4 with a remainder of 1
 064 
53214
–0   
 32  
–30  
  21 
STEP 10: MULTIPLY
4 · 5 = 20
 064 
53214
–0   
 32  
–30  
  21 
  20 
STEP 11: SUBTRACT
21 - 20 = 1
 064 
53214
–0   
 32  
–30  
  21 
 –20 
   1 
STEP 12: BRING DOWN
 064 
53214
–0   
 32  
–30  
  21 
 –20 
   14
STEP 13: DIVIDE
14 : 5 = 2 with a remainder of 4
 0642
53214
–0   
 32  
–30  
  21 
 –20 
   14
STEP 14: MULTIPLY
2 · 5 = 10
 0642
53214
–0   
 32  
–30  
  21 
 –20 
   14
   10
STEP 15: SUBTRACT
14 - 10 = 4
 0642
53214
–0   
 32  
–30  
  21 
 –20 
   14
  –10
    4
STEP 15: SUBTRACT
14 - 10 = 4
 0642
53214
–0   
 32  
–30  
  21 
 –20 
   14
  –10
    4
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