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Long Division

Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

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Page 1: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Long Division

Page 2: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Long Division• Long division is as simple as memorizing the

people in this family.

Dad Mom Sister Brother

Rover

Cat

Page 3: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Long Division• Each person represents a step in the long

division process.

Dad

Mom

Sister

Brother

Rover

1. Divide

2. Multiply

3. Subtract

5. Bring down

6. Repeat or

Remainder

4. Compare

Page 4: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 1 in Long Division

• Divide 2 into first

number in the dividend.

2 ) 9 4 7

• Think how many 2’s

will fit into 9.

4

How many 2’s

will go into 9?

• Write that number directly

above the number you

divided into.

Dad

1. Divide

Page 5: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 2 in Long Division

• Multiply the divisor

times the first

number in the quotient.

2 ) 9 4 7

• Write your answer

directly under the 9

or the number you

just divided into.

4

2 x 4 = 8

2. Multiply

Mom

8

Page 6: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 3 in Long Division

• Draw a line under the 8.

2 ) 9 4 7

• Write a subtraction sign

next to the 8.

43. Subtract

8Sister

• Subtract 8 from 9.

• Write your answer directly below the 8.

1

Page 7: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 4 in Long Division

2 ) 9 4 74

8

1

4. Compare

• Compare the difference

1 to the divisor 2

Ask yourself is the difference less that the

divisor?

If the answer is yes-continue to step 5

If the answer is no-

you need to change the digit in your

quotient it is too small

1 is smaller than

2 – I’ll continue

to step 5

Page 8: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 5 in Long Division

• Go to the next number in

the dividend to the right of

the 9.

2 ) 9 4 7

• Write an arrow under the 4.

44. Bring

down

8

• Bring the 4 down next to the 1.

1

Brother

4

Page 9: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 6 in Long Division

• This is where you decide

whether you repeat the

5 steps of division.

2 ) 9 4 7

• If your divisor can divide into your new number,

14, or if you have numbers in the dividend

that have not been brought down, you repeat

the 5 steps of division.

45. Repeat or

Remainder

81 4

Rover

Page 10: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 1 in Long Division

• Divide 2 into your new

number, 14.

2 ) 9 4 7

• Place your answer

directly above the 4

in your quotient.

41. Divide

81 4

Dad

7

Page 11: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 2 in Long Division

• Multiply your divisor, 2,

with your new number

in the quotient, 7.

2 ) 9 4 7

• Place your answer

directly under the

14.

42. Multiply

81 4

7

Mom

1 4

Page 12: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 3 in Long Division

• Draw a line under the

bottom 14.

2 ) 9 4 7

• Draw a subtraction sign.

43. Subtract

81 4

7

1 4

Sister

• Subtract & place answer

under the line. 0

Page 13: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 4 in Long Division

2 ) 9 4 74 7

81 4

4. Compare

• Compare the difference

0 to the divisor 2

Ask yourself is the difference less that the

divisor?

If the answer is yes-continue to step 5

If the answer is no-

you need to change the digit in your

quotient it is too small

-140 0 is less than 2-

I’ll continue to

step 5

Page 14: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 5 in Long Division

• Put an arrow under

the next number, 7,

in the dividend.

2 ) 9 4 7

• Bring the 7 down next to

the 0.

45. Bring

down

81 4

7

1 40

Brother

7

Page 15: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 6 in Long Division

• If the 2 will divide into

your new number, 7, then

repeat the steps of division.

2 ) 9 4 745. Repeat or

Remainder

81 4

7

1 40 7

Rover

Page 16: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 1 in Long Division

• Divide your divisor, 2, into

your new number, 7.

2 ) 9 4 741. Divide

81 4

7

1 40 7

Dad

• Place your answer in the

quotient next to the 7.

3

Page 17: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 2 in Long Division

• Multiply your divisor, 2, by

your new number in the

quotient, 3.

2 ) 9 4 74

2. Multiply

81 4

7

1 40 7• Place your answer under the

number you brought

down, 7.

3

Mom

6

Page 18: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 3 in Long Division

• Draw a line under the

number 6.

2 ) 9 4 74

3. Subtract

81 4

7

1 40 7• Place your subtraction sign.

3

6

Sister

• Subtract & put your answer

directly under the 6. 1

Page 19: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 4 in Long Division

2 ) 9 4 7

4 7 3

81 4

4. Compare• Compare the difference

1 to the divisor 2

Ask yourself is the difference less that the

divisor?

If the answer is yes-continue to step 5

If the answer is no-

you need to change the digit in your

quotient it is too small

-1407

- 6 1 is less than 2-

I’ll continue to

step 5

1

Page 20: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 5 in Long Division

• Look at your dividend to

see if there are any

more numbers to bring

down.

2 ) 9 4 74

4. Bring down

81 4

7

1 40 7

3

6• If not, move to step 5.

1

Brother

Page 21: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Step 5 in Long Division

• Since there are no more

numbers to bring down

& 2 will not divide into

1, you do not repeat the

steps of division.

2 ) 9 4 74

5. Repeat or

Remainder

81 4

7

1 40 7

3

6• The number left over, 1,

becomes the remainder. 1

Rover

R1

Page 22: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

2 ) 9 4 74

81 4

7

1 40 7

3

61

R1You did it!

You’re so

smart!

You’re

awesome!

Cool

Dude!

Wolf!

Page 23: Long Division - Central Bucks School District · Step 6 in Long Division • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 7 ... by Monica Yuskaitis,

Credits

Written by Monica Yuskaitis

Illustrations by

• Corel Gallery by Corel Corp.

• Broderbund ClipArt T/Maker Co.

Copying of this software must be approved

by Monica Yuskaitis, Walter White Elementary, CUSD

This software may only be used in Ceres

Unified School District