The dividend is
.
The divisor is
.
Rewrite the expression in long division form
.
Divide the first term of the dividend by the first term of the divisor.
\So, the first term of the quotient is
.
Multiply
by
and subtract.

Divide the first term of the last row by first term of the divisor
.
So, the second term of the quotient is
.
Multiply
by
and subtract.

Divide the first term of the last row by first term of the divisor
.
So, the third term of the quotient is
.
Multiply
by
and subtract.

The remainder is the last entry in the last row.
\Therefore, the remainder
.
The number along the bottom row are the coefficients of the quotient.
\From this division the polynomial function can be written as 
.
Consider the quotient
.


.