# Section B: Practice Problems Multi-digit Division Using Partial Quotients

## Section Summary

Details

In this section, we learned how to divide multi-digit whole numbers. To find a quotient like we broke 448 down into multiples of 16 and then added these partial quotients.

Then, we worked with a way to record these calculations that we first saw in an earlier course.

## Problem 1 (Lesson 10)

1. 480 dancers make groups of 15. How many groups are there? Explain or show your reasoning.

2. 480 dancers make groups of 30. How many groups are there? Explain or show your reasoning.

## Problem 2 (Lesson 11)

1. Explain why is equivalent to .

2. What is the value of ? Explain your reasoning.

## Problem 3 (Lesson 12)

Use partial quotients to find the value of

## Problem 4 (Lesson 13)

1. Use partial quotients to find the quotient .

2. Can you use partial quotients to find in a different way?

## Problem 5 (Lesson 14)

Find using partial quotients. Explain your calculations.

## Problem 6 (Lesson 15)

The area of a rectangular field is 8,320 square yards. The width is 65 yards. How long is the field? Explain your reasoning.

## Problem 7 (Exploration)

1. Andre made a noodle that was 102 feet long. The noodle broke into two pieces. One piece was 2 times as long as the other. How long were the two noodles? Explain your reasoning.

2. Priya made a noodle that was 456 feet long. The noodle broke into two pieces. One piece was 5 times as long as the other. How long were the two noodles? Explain your reasoning.

## Problem 8 (Exploration)

Lin is calculating .
She calculates and notices that it is .
Lin concludes that .

1. Explain Lin’s reasoning.

2. Use Lin’s method to calculate .