Algebraic division has the same algorithm, procedure, as regular division.
DIVISION
1st:  Use a blank rectangular sheet of paper to
separate the storage region from the display area and to create a border for the rectangular area. 
2nd:  Represent the divisor
vertically in storage on the left edge of the display area.  3rd: 
Represent the dividend in the display area in descending order beginning with the upper
left corner.  4th:  Arrange, if possible, the
dividend in IDENTICAL rows in the display area. Matching one row per vertical divisor tile leaves remainders extra in
the storage area. 
5th:  Once a single rectangular arrangement of tiles (extra
remainder tiles excluded) is created, represent the appropriate quotient horizontally in the storage area as
dictated by the dividend.  6th:  If a
single rectangular arrangement of tiles is not possible, add zeros as needed to fill the required area. 
7th:  Read the quotient and the remainder. 
The work and answer for each of these problems is shown below and individually
through the arrow.
ex. 1.  Divide 4x12 by 4. 
ex. 5.  Divide (x²  4x + 3) / (x1) 
ex. 2.  Divide (x²+x) ÷ x 
ex. 6.  Divide x²  x  6 by x3. 
ex. 3.  Divide (2x³+6x²2x+1) / (2x)

ex. 7.  Divide x² + 7x  11 by x5. 
ex. 4.  Divide (x² + 4x + 3) / (x+3) 

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