In previous lessons, students learned to use a partial-quotients algorithm to evaluate division expressions involving two-digit divisors. In this lesson, students extend their work in two ways. First, using partial quotients requires care in finding multiples and in subtracting those multiples or partial quotients. Students identify and correct errors in multiplication and in subtraction. Then they find quotients of greater numbers. Here the multiplication and subtraction demands increase, and students see the first cases in which they can subtract 100, or a multiple of 100 of the divisor, from the dividend.

It is important for students to build procedural skills from conceptual understanding. How will you connect students’ thinking to support each student in using increasingly more efficient multiples of the divisor when they use a partial-quotients algorithm?