Partial Quotients Division Algorithm

Partial QuotientsDivision

Algorithm

Quick Slate ReviewSolve the following problems.

……. Ready…………………..Set…………..

………Go!

7x3 = 6x5 = 4x5 = 2x8 = 3x9 =

5x10 =

Check your work 7x3 = 6x5 = 4x5 = 2x8 = 3x9 =

5x10 =

213020162750

Slate Review ofExtended Multiplication Facts

……. Ready…………………..Set…………..

………Go!

7 x 10 = 7 x 100 = 7 x 1,000 = 5 x 10 = 5 x 100 = 5 x 1,000 =

707007,000505005,000

Check your answers!

Let’s Learn the Partial Quotients Algorithm

for Dividing!

Today we are only going to learn how to divide a 3 digit number

by a 1 digit number.

Let’s try 244 ÷ 7

We are going to set it up like this:

2447

To help us, lets make a math box of 7’s multiplication facts!

7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700

We are going to look at our entire dividend and our math box to find a product close to our dividend:

2447

I see a math fact that is close to 244 without going over!

7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700

-140 20 104

Now, we look at our new dividend of 104 and our math box to find a product close to our dividend:

2447

I see a math fact that is close to 104 without going over!

7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700

-140 20 104-70 10

34

Again, we look at our new dividend of 34 and our math box to find a product close to our dividend:

2447

I see a math fact that is close to 34 without going over! However, 14 is quite a bit smaller so we are going to double it (7 x 4 = 28).

7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700

-140 20 104-70 1034

-28 46

Once our dividend is smaller than our divisor we stop!

2447-140 20 104-70 1034

-28 46

Now we are ready to add our partial quotients and report our remainder.

We add all three!Then report our quotient with remainder.

34 r 6

Let’s review our steps:1. Set up the problem.

2. Make a math box of simple multiplication facts with the divisor.

4. Write your quotient to the right of the vertical line. Then subtract.

3. Find the math fact with a product closest to the dividend without going over.

7 x 1 = 77 x 2 = 147 x 5 = 357 x 10 = 707 x 20 = 1407 x 50 = 3507 x 100 = 700

2447

-140 20 104

Let’s Model Another One!Set up the problem & make your math box.

3225 5 x 1 = 55 x 2 = 105 x 5 = 255 x 10 = 505 x 20 = 1005 x 50 = 2505 x 100 = 500

Find the product closest to the dividend without going over.

Subtract to find the difference.

-250 5075

Continue until the dividend is smaller than the divisor!

5 x 1 = 55 x 2 = 105 x 5 = 255 x 10 = 505 x 20 = 1005 x 50 = 2505 x 100 = 500

Find the product closest to the dividend without going over.

Subtract to find the difference.

3225-250 50

75-50 10 25-25 5 0

65 r 0

Try this one using your slate. Use the blank worksheet to help guide you.

Follow these steps:

The teacher will be around to assist you.

Help Button ~>

1. Set up the problem.

2. Make a math box of simple multiplication facts with the divisor.

4. Write your quotient to the right of the vertical line. Then subtract.

3. Find the math fact with a product closest to the dividend without going over.

4434

44344 x 1 = 44 x 2 = 84 x 5 = 204 x 10 = 404 x 20 = 804 x 50 = 2004 x 100 = 400

-400 10043

-40 103

110 r 3

Let’s try one more!Use the blank worksheet to help guide you.

Follow these steps:

The teacher will be around to assist you.

Help Button ~>

1. Set up the problem.

2. Make a math box of simple multiplication facts with the divisor.

4. Write your quotient to the right of the vertical line. Then subtract.

3. Find the math fact with a product closest to the dividend without going over.

9828

9828

8 x 1 = 88 x 2 = 168 x 5 = 408 x 10 = 808 x 20 = 1608 x 50 = 4008 x 100 = 800

-800 100182

-160 2022

122 r 6

-16 2 6

Homework* You will complete a worksheet

with 6 division problems which you will use Partial Quotients to solve.

You did a wonderful job today!

We will practice more with partial quotients tomorrow by reviewing

first, and then learning how to divide 3 digit and 4 digit numbers

by a 2 digit number.