SOLUTION: How do I do long division of a polynomial?

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Question 606954: How do I do long division of a polynomial?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If you know how to do the basic math long division on the left
then you know how to do the algebra long division problem on the 
right.  The basic math division was chosen so there would be no 
borrows or carrys, and the digits are exactly the same as the 
coefficients in the algebra long division:

        2211                            2x³+2x²+1x+1
  312)689895            3x²+1x+2)6x5+8x4+9x³+8x²+9x+5
      624                        6x5+2x4+4x³  
       658                           6x4+5x³+8x²    
       624                           6x4+2x³+4x²
        349                              3x³+4x²+9x
        312                              3x³+1x²+2x
         375                                 3x²+7x+5
         312                                 3x²+1x+2
          63                                     6x+3