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Long DivisionWith 2 Digit Divisor

Lesson Essential Questions

- Why use division?
- What are the steps for dividing?
- How do you solve real-world problems using

division?

Key Vocabulary

- Dividend
- Divisor
- Quotient
- remainder

Dividend

- The amount to be divided

- 36 9 4
- 36 is the dividend

Divisor

- The number used to divide by

- 36 9 4
- 9 is the divisor.

Quotient

- The answer when one number is divided by another.

- 36 9 4
- 4 is the quotient.

Remainder

- The amount left over when one number can not be

divided exactly by another.

- 17 7 2 R 3
- 3 is the remainder

Why use division?

- To divide an amount of something into groups
- 36 candy pieces to be shared by 4 friends
- 36 4

How do we divide whole numbers by 2-digit

divisors?

- DMSBR

Long Division With 2 Digit Divisor

- Use our family to help you remember the steps in

long division.

Dad

Mom

Sister

Brother

Rover

2 Digit Long Division

- Each person represents a step in the long

division process.

3. Subtract

1. Divide

Sister

4. Bring down

Dad

Brother

2. Multiply

5. Repeat or Remainder

Mom

Rover

Step 1 in 2 Digit Long Division

4

1. Divide

2 1) 9 4 8

Dad

- Divide 21 into first number in the dividend.

How many 20s will go into 90?

- 21 will not go into 9 so
- you look at 94.

- Round off 21 and 94 in
- your head.

- Now divide 20 into 90
- put your answer above the 4.

Step 2 in 2 Digit Long Division

4

2. Multiply

2 1) 9 4 8

Mom

8

4

- Multiply the divisor times the first number

in your quotient.

21 x4 84

- Write your answer directly under the 94 or

the number you just divided into.

Step 3 in 2 Digit Long Division

4

3. Subtract

2 1) 9 4 8

Sister

8

4

- Draw a line under the 84.

- Write a subtraction sign next to the 84.

1

0

- Subtract 84 from 94.

- Write your answer directly below the 84.

Step 4 in 2 Digit Long Division

4

4. Bring down

2 1) 9 4 8

Brother

8

4

- Go to the next number in the dividend to the

right of the 4.

1

0

8

- Write an arrow under that
- number.

- Bring the 8 down next to the 10.

Step 5 in 2 Digit Long Division

4

5. Repeat or Remainder

2 1) 9 4 8

Rover

8

4

- This is where you decide whether you repeat the

5 steps of division.

1

0

8

- If your divisor can divide into your new

number, 108, or if you have numbers in the

dividend that have not been brought down, you

repeat the 5 steps of division.

Step 1 in 2 Digit Long Division

4

5

1. Divide

2 1) 9 4 8

Dad

8

4

- Divide 21 into your
- new number, 108.

1

0

8

- Round 21 and 108 off
- in your head.

- Divide 20 into 110

- Place your answer directly
- above the 8 in your quotient.

Step 2 in 2 Digit Long Division

4

5

2. Multiply

2 1) 9 4 8

Mom

8

4

- Multiply your divisor, 21, with your new number

in the quotient, 5.

1

0

8

1

5

0

- Place your answer directly under the 108.

Step 3 in 2 Digit Long Division

4

5

3. Subtract

2 1) 9 4 8

Sister

8

4

- Draw a line under the bottom number, 105.

0

8

1

- Draw a subtraction sign.

0

1

5

- Subtract place answer under the line.

3

Step 4 in 2 Digit Long Division

4

5

4. Bring down

2 1) 9 4 8

Brother

8

4

- Since there is nothing to
- bring down, go to step
- five.

0

8

1

0

1

5

3

Step 5 in 2 Digit Long Division

4

5

R3

5. Repeat or Remainder

2 1) 9 4 8

Rover

8

4

- If the 21 will not divide into your new number,

3, there is nothing to bring down, you are done.

8

1

0

0

1

5

3

- Write your left over 3 as the
- remainder next to the 5.

Way to go!

Super work!

4

5

R3

2 1) 9 4 8

8

4

Youre hot!

8

0

1

Im proud of you!

0

1

5

Bow-wow!

3

Lets See That again

Long Division

- Let this family help you remember the steps in

long division.

Dad Mom Sister Brother Rover

Long Division

DMSBR

- Each family member represents a step in solving

long division problems.

Dad Mom Sister Brother Rover

Step One - Divide

- Divide 3 into the first number in the dividend.
- 3 will go into 4 one time.
- Write a 1 above the 4 because thats the current

dividend.

1

3) 497

Dad

Step Two - Multiply

- Multiply the divisor times the first number in

the quotient. - Write the answer below the number you just

divided into.

1

3) 497

3

Mom

Step Three - Subtract

- Subtract.
- Be sure to line up your numbers carefully.

1

3) 497

3

Sister

1

Step Four Bring Down

- Draw an arrow and bring the second digit in the

dividend down.

1

3) 497

3

Brother

1

9

Step Five Repeat or Remainder

- Repeat the steps in the same manner as before, as

shown in the next set of slides.

1

3) 497

3

Rover

1

9

Repeat Step One - Divide

- Divide 3 into the new number.
- 3 will go into 19 six times.
- Write a 6 above the 9 because thats the current

dividend.

1

6

3) 497

3

1

9

Dad

Repeat Step Two - Multiply

- Multiply the divisor into the new number in your

quotient. - 3 x 6 18
- Write 18 below the number you just divided into.

1

6

3) 497

3

1

9

18

Mom

Repeat Step Three - Subtract

1

6

3) 497

3

1

9

Sister

18

1

Repeat Step Four Bring Down

1

6

- If there are more digits in the dividend, repeat

the procedure. - Bring the third digit in the dividend down.

3) 497

3

1

9

18

1

7

Brother

Repeat Step Five Repeat or Remainder

1

6

5

r2

- If there are more digits in the dividend, repeat

the procedure. - If there are no more digits in the dividend,

write the final subtraction answer as a

remainder. - If there is no remainder, youre finished! Pat

yourself on the back for a job well done.

3) 497

3

1

9

18

1

7

15

Rover

2

Remember

Divide Multiply Subtract Bring Down Repeat or

Remainder

Lets do more problems together.

4)2960

6)3721

DMSBR

4)2961

9)2388

Complete these problems on a sheet of paper.

The answers

- 2960 4 740
- 2961 4 74 r 1
- or
- 74.25

- 3721 6620 r 1
- Or
- 620.167
- 2388 9265 r 3
- Or
- 265.33

- You have just learned a mnemonic device for

helping you to remember the steps in long

division. - You can use mnemonic devices anytime you need to

learn material in any subject.

Assignment

- Complete pages 215-216 problems 1-30.
- Write your name, date and assignment on the top

of the page.

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