The purpose of this activity is for students to use base-ten diagrams to find quotients of two-digit dividends and single-digit divisors. They think about distributing the pieces in the diagram into equal-size groups, decomposing a higher-value piece with 10 of the lower-value pieces as needed to divide.

• Invite students to share their responses and reasoning.
• Make sure students see that:
  • We can think of as putting 6 tens and 4 ones into 4 equal groups, and as putting 1 hundred 1 ten and 7 ones into 3 equal groups.
  • To divide the base-ten pieces, we can decompose a piece representing a larger place value with 10 of the next smaller place value.

The purpose of this activity is for students to continue to use base-ten representations and to reason about equal-size groups to find whole-number quotients. The work reinforces the idea of decomposing a hundred into 10 tens as needed to perform division. 

Students explicitly use place value understanding to decompose hundreds and tens (MP7) while making sense of a students' reason to help him complete the division problem (MP3).

• Select students to share their responses and reasoning for the last question. Display for all to see.
• Highlight the idea that each unit can be decomposed into 10 units of a lower place value to make it possible to create equal-sized groups.