In long division notation, the numerator is placed underneath the division symbol, and the denominator is placed to the left. The expression below shows the division
When the division is complete, there is a number above the division sign.
Sometimes, two values will not divide evenly.
As a result, the quotient contains a remainder. Here, there is a remainder of 1,
which is expressed as 1 divided by 2,
The quotient can be written as
The concepts of numerator, denominator, quotient, and remainder are also used when working with polynomial long division. If, for example, x2+4
is divided by x−1,
the division is written as follows.
When the division is finished, the quotient is x+1
and the remainder is 3
. Thus, the result is written as