Rewrite the expression in long division for .

Use division to rewrite the divisor so it has a first coefficient of 12.

Divide the numerator and denominator by 5.

Simplify the numerator and denominator.

Write the terms of the dividend so that the degrees of the terms are in descending order. Then write just the coefficients as shown below.

Bring down the first coefficient.

Multiply the first coefficient by r: .

Write the product under the second coefficient.

Then add the product and the second coefficient:  32 = 1.

Multiply the sum 1, by r:  .

Write the product under the next coefficient.

Then add the product and last coefficient: 41 = 3

The remainder is the last entry in the last row. Therefore, R = 3.

The numbers along the bottom row are the coefficients of the quotient.

Start with the power of y that is one less than the degree of the dividend.

Thus, the quotient is 2x + 1.

The result of division is

The result of division is