Math Grade 4Mrs. Ennis

Long Division (Without Remainders)

Lesson Fifteen

1. 36 + 28 =2. 82 - ? = 313. 42 + 39 =4. Jake earned $4 for raking

the yard, five quarters for feeding the dog and 42 dimes for washing the car. He wants to buy a video game for $10. Does he have enough money? Explain you answer.

5. What time is it 35 minutes after this?6. A polygon with four sides,

all the same length and four square corners?

7. 3 hundreds, 9 tens and 17 ones

8. At the park, there were seven bicycles and three tricycles. How many wheels would that be?

Long Division Algorithm

To be really good at division, you must learn your multiplication facts. For this lesson, if you don’t know them, you may want to use a multiplication chart like this one:

Vocabulary

• dividend - the number you are dividing

• divisor - the number you are dividing by

• quotient - the evenly divided result

• remainder - what is left over that cannot be evenly divided

• divisable- can be divided by evenly

When writing it like this:

136, is the dividend

5, is the divisor 27, is

the quotient

1 is the remainder1365

27 r 1

5 Steps in Long Division

1. Divide

2. Multiply3. Subtract4. Bring down.

5. Repeat or Remainder

DirtyMonkeysSmellBad

Step 1 in Long Division

• Divide 2 into first number in the dividend.

2 ) 9 4

• 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.

1. Divide

Step 2 in Long Division

• Multiply the divisor times the first number in the quotient.

2 ) 9 4

• Write your answer directly under the 9 or the number you just divided into.

4

2 x 4 = 8

2. Multiply

8

Step 3 in Long Division

• Draw a line under the 8. 2 ) 9 4

• Write a subtraction sign next to the 8.

43. Subtract

8

• Subtract 8 from 9.• Write your answer directly below the 8.

1

Step 4 in Long Division

• Go to the next number in the dividend to the right of the 9.

2 ) 9 4

• Write an arrow under the 4.

44. Bring down.

8

• Bring the 4 down next to the 1.

1 4

Step 5 in Long Division

• This is where you decide whether you repeat the 5 steps of division.

2 ) 9 4

• 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

Step 1 in Long Division

• Divide 2 into your new number, 14.

2 ) 9 4

• Place your answer directly above the 4 in your quotient.

41. Divide

81 4

7

Step 2 in Long Division

• Multiply your divisor, 2, with your new number in the quotient, 7.

2 ) 9 4

• Place your answer directly under the 14.

42. Multiply

81 4

7

1 4

Step 3 in Long Division

• Draw a line under the bottom 14.

2 ) 9 4

• Draw a subtraction sign.

43. Subtract

81 4

7

1 4• Subtract & place answer under the line.

0

Step 4 in Long Division

• There is nothing left to bring down. You have no remainder.

2 ) 9 4

• You are finished. Your quotient is 47.

44. Bring down.

81 4

7

1 40

2 ) 9 4 4

81 4

7

1 40

You did it!

You’re so smart!

You’re awesome!

CoolDude!

Step 1 in Long Division

• Divide 5 into first number in the dividend.

5 ) 6 5

• Think how many 5’s will fit into 6.

1

How many 5’s will go into 6?

• Write that number directly above the number you divided into.

1. Divide

Step 2 in Long Division

• Multiply the divisor times the first number in the quotient.

5 ) 6 5

• Write your answer directly under the 6 or the number you just divided into.

1

1 x 5 = 5

2. Multiply

5

Step 3 in Long Division

• Draw a line under the 5. 5 ) 6 5

• Write a subtraction sign next to the 5.

13. Subtract

5

• Subtract 5 from 6.• Write your answer directly below the 5.

1

Step 4 in Long Division

• Go to the next number in the dividend to the right of the 6.

5 ) 65

• Write an arrow under the 5.

14. Bring down.

5

• Bring the 5 down next to the 1.

1 5

Step 5 in Long Division

• This is where you decide whether you repeat the 5 steps of division.

5 ) 65

• If your divisor can divide into your new number, 15, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.

15. Repeat or Remainder

51 5

Step 1 in Long Division

• Divide 5 into your new number, 15.

5 ) 65

• Place your answer directly above the 5 in your quotient.

11. Divide

51 5

3

Step 2 in Long Division

• Multiply your divisor, 5, with your new number in the quotient, 3.

5 ) 65

• Place your answer directly under the 15.

12. Multiply

51 5

3

1 5

Step 3 in Long Division

• Draw a line under the bottom 15.

5 ) 65

• Draw a subtraction sign.

13. Subtract

51 5

3

1 5• Subtract & place answer under the line.

0

Step 4 in Long Division

• There is nothing left to bring down. You have no remainder.

5 ) 6 5

• You are finished. Your quotient is 15.

14. Bring down.

51 5

5

1 50

You did it!

You’re so smart!

You’re awesome!

CoolDude!

5 ) 6 5 1

51 5

5

1 50

DirtyMonkeysSmellBad

3 ) 54

0

3 ) 5 4 1

32 4

8

2 40

You did it!

You’re so smart!

You’re awesome!

CoolDude!

DirtyMonkeysSmellBad

4 ) 76

0

4 ) 76 1

43 6

9

3 60

You did it!

You’re so smart!

You’re awesome!

CoolDude!

Online Practice

http://www.mrnussbaum.com/draggable_division/division.html

http://www.someschoolgames.com/cool-math-games/snorks-long-division/

Math Fun

Answer:

14 weeks

$55 - $15 = $40$40 divided by $3 = 13 r113 weeks would only be $39

Resources:http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf

http://math.pppst.com/division.html

http://www.mrnussbaum.com/draggable_division/division.html

http://www.someschoolgames.com/cool-math-games/snorks-long-division