





At each stage we work to eliminate the highest power ofTo start with the highest power of
is 4: multiply the denominator
by
– the first term of the quotient - to get
and subtract from the numerator to get
Now the highest power of
is 3. We multiply the denominator by
– the nest term of the quotient - to get
and subtract to get
The highest power of
is 2. We multiply the denominator by 2 – the last term in the quotient - to get
and subtract to get zero. Hence
There is no remainder.
If instead we are finding the quotient and remainder ofwe follow the same process, but now, as shown below, the remainder is 9 hence the division is now
hence