We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 6 Lesson 6 Divide Using Partial Quotients** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 6 Lesson 6 Answer Key Divide Using Partial Quotients

I Can use partial quotients to divide multi-digit numbers by 1-digit numbers.

**Spark Your Learning**

At an airport, shuttle buses take passengers from the parking lot to the terminal. To transport 96 passengers, 4 shuttle buses are needed. How many passengers can fit on each bus?

**Show your Thinking**

Answer:

Explanation:

24 passengers can fit in each bus.

**Turn and Talk** What are two different ways that you can break apart 96 to make it easier to divide by 4?

**Build Understanding**

1. An airplane has 165 seats. There are 5 seats in each row. How many rows of seats are there?

**Draw an area model to represent 165 ÷ 5.**

Answer:

A. How did you break apart 165 into smaller parts that are multiples of 5?

165 = __________________________

Answer:

165 = 125 + 40

B. How can you divide each smaller part of the dividend to find a smaller part of the whole-number quotient?

__________________________________

__________________________________

Answer:

The whole number quotients for smaller parts is 25 and 8.

C. Each smaller part of the whole-number quotient is called a partial quotient. How can you use these partial quotients to find 165 ÷ 5?

Answer:

25 + 8 = 33

The partial quotients added together is 33.

D. There are _____ rows of seats.

Answer:

There are 33 rows of seats.

**Connect to Vocabulary**

In the partial quotient method of dividing, multiples of the divisor are subtracted from the dividend and then the partial quotients are added together.

**Turn and Talk** How does using partial quotients to divide relate to using an area model to represent the division?

**Step It Out**

2. Use partial quotients to find 862 ÷ 7.

A. Find a multiple of the divisor that is less than or equal to the dividend.

7 × 100 = ____

Answer:

Explanation:

862 ÷ 7 is 123 and reminder is 1.

B. Subtract that multiple from the dividend.

C. Keep subtracting multiples of the divisor until the remaining number is less than the divisor. That remaining number is the remainder.

D. Add all the partial quotients to find the whole-number quotient.

1oo + 20 + 3 = ___ 862 ÷ 7 is ___ r ___.

Answer:

100 + 20 + 3 = 123 and 862 ÷ 7 is 123 and reminder is 1.

**Turn and Talk** How does using partial quotients to divide relate to using repeated subtraction to divide?

**Check Understanding Math Board**

Question 1.

Hank loads 848 snack packs onto 4 airplanes. He puts the same number of packs on each plane.

How many packs does Hank put on each airplane? Use partial quotients to find 848 ÷ 4.

Answer:

Hank loads _____ snack packs on each plane.

Answer:

Explanation:

Hank hold 212 snack packs on each plane.

**On Your Own**

Question 2.

**Attend to Precision** This airport parking garage has 5 floors. Each floor holds the same number of cars. How many cars can each floor hold? Use partial quotients to divide. Show your work.

Each floor of the garage can hold ____ cars.

Answer:

Explanation:

Each floor of the garage can hold 219 cars.

Question 3.

**Use Structure** Which problem is easier to solve using partial quotients? Why?

693 ÷ 3 = ___

543 ÷ 3 = ___

Answer:

Explanation:

693 ÷ 3 is 231.

The above equation is easier to solve using partial quotients.

**Use partial quotients to divide.**

Question 4.

248 ÷ 8 ___

Answer:

Explanation:

248 ÷ 8 is 31 and reminder is 0.

Question 5.

185 ÷ 5 ___

Answer:

Explanation:

185 ÷ 5 is 37 and reminder is 0.

Question 6.

740 ÷ 6 ___

Answer:

Explanation:

740 ÷ 6 = 123 and reminder is 2.

**I’m in a Learning Mindset!**

What is still unclear to me about using partial quotients to divide?

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