In previous lessons, students used estimation strategies, the properties of operations, and the relationship between multiplication and division to divide multi-digit numbers by two-digit divisors. They analyzed different strategies for recording partial quotients.

In this lesson, students move from strategies to algorithms in which the connections to place value, the properties of operations, and the relationship between multiplication and division are clear. Students interpret a partial-quotients algorithm with a two-digit divisor, for the first time. They used this algorithm with one-digit divisors, in grade 4. They practice using this algorithm, with less and less scaffolding. Throughout the lesson, the emphasis is on making sense of each step and the different operations used in each step. Students also see that there are many different ways to correctly find a quotient, using this algorithm, and they are encouraged to find partial quotients that make sense to them.