Most of the quotients with which students have worked in this unit had whole-number values. As seen in the previous lesson, sometimes the quotient has a remainder, and fractions can be used to express the meaning of that remainder. The purpose of this optional lesson is to evaluate division expressions, using fractions. Although the quotients that students work with here are whole numbers, the fractions still highlight an important part of the partial-quotients algorithm, namely that working with nice multiples of the divisor facilitates the calculation process. The new part of this lesson is that some of the multiples are fractions.