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Question

What is the quotient and remainder when $ 3258 $ is divided by $ 7 $ ?

Answer

The quotient is 465 and the remainder is 3.

Explanation
Division Table
 0465
73258
–0   
 32  
–28  
  45 
 –42 
   38
  –35
    3
STEP 0:
set up a division table
     
73258
STEP 1: DIVIDE
3 : 7 = 0 with a remainder of 3
 0   
73258
STEP 2: MULTIPLY
0 · 7 = 0
 0   
73258
 0   
STEP 3: SUBTRACT
3 - 0 = 3
 0   
73258
–0   
 3   
STEP 4: BRING DOWN
 0   
73258
–0   
 32  
STEP 5: DIVIDE
32 : 7 = 4 with a remainder of 4
 04  
73258
–0   
 32  
STEP 6: MULTIPLY
4 · 7 = 28
 04  
73258
–0   
 32  
 28  
STEP 7: SUBTRACT
32 - 28 = 4
 04  
73258
–0   
 32  
–28  
  4  
STEP 8: BRING DOWN
 04  
73258
–0   
 32  
–28  
  45 
STEP 9: DIVIDE
45 : 7 = 6 with a remainder of 3
 046 
73258
–0   
 32  
–28  
  45 
STEP 10: MULTIPLY
6 · 7 = 42
 046 
73258
–0   
 32  
–28  
  45 
  42 
STEP 11: SUBTRACT
45 - 42 = 3
 046 
73258
–0   
 32  
–28  
  45 
 –42 
   3 
STEP 12: BRING DOWN
 046 
73258
–0   
 32  
–28  
  45 
 –42 
   38
STEP 13: DIVIDE
38 : 7 = 5 with a remainder of 3
 0465
73258
–0   
 32  
–28  
  45 
 –42 
   38
STEP 14: MULTIPLY
5 · 7 = 35
 0465
73258
–0   
 32  
–28  
  45 
 –42 
   38
   35
STEP 15: SUBTRACT
38 - 35 = 3
 0465
73258
–0   
 32  
–28  
  45 
 –42 
   38
  –35
    3
STEP 15: SUBTRACT
38 - 35 = 3
 0465
73258
–0   
 32  
–28  
  45 
 –42 
   38
  –35
    3
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