11

Dividing 4 Digits by 2 Digits

Division

Copyright Copyright © 2013 by Monica Yuskaitis© 2013 by Monica Yuskaitis 22

How to DivideHow to Divide2 Digits into2 Digits into

3 Digits3 Digits

33

DivisionDivisionWhat does each member of this family What does each member of this family

represent in long division?represent in long division?

1. Divide1. Divide

2. Multiply2. Multiply

3. Subtract3. Subtract

4. Bring down4. Bring down

5. Repeat or5. Repeat orRemainderRemainder

44

Step 1 in 2 Digit Long DivisionStep 1 in 2 Digit Long Division

Divide 21 into 1Divide 21 into 1stst number in the number in the dividend.dividend. 2 1) 9 4 8

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

4

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

Use mental math to round 21 and 94.

1. Divide1. Divide

How many 20’s will go into 90?

55

2 1) 9 4 8

Step 2 in 2 Digit Long DivisionStep 2 in 2 Digit Long Division

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

Write your answer directly under the 94 or the number you just divided into.

4

8 4

2. Multiply2. Multiply

4 x 21=84

66

Step 3 in 2 Digit Long DivisionStep 3 in 2 Digit Long Division

Draw a line under the 84.Draw a line under the 84.

Write a subtraction sign next to the 84.

Subtract 84 from 94.

Write your answer directly below the 84.

1

4

8 40

2 1) 9 4 8

3. Subtract3. Subtract

77

Step 4 in 2 Digit Long DivisionStep 4 in 2 Digit Long Division

Go to the next number Go to the next number in the dividend to the in the dividend to the right of the 4.right of the 4.

Write an arrow under that number.

Bring the 8 down next to the 10.

4. Bring down4. Bring down

1

4

804

8

2 1) 9 4 8

88

Step 5 in 2 Digit Long DivisionStep 5 in 2 Digit Long Division

Decide if you repeat the Decide if you repeat the 5 steps of division. 5 steps of division.

If your divisor (21) can divide into your new number (108), or if you have numbers that have not been brought down, you repeat the 5 steps of division.

1

4

804

8

5. Repeat or Remainder5. Repeat or Remainder

2 1) 9 4 8

99

Step 1 in 2 Digit Long DivisionStep 1 in 2 Digit Long Division

Divide 21 into your new Divide 21 into your new number, 108.number, 108.

Place your answer directly above the 8 in your

quotient.

1

4

804

8 Use mental math to

round 21 and 108.

Divide 20 into 110

51. Divide1. Divide

2 1) 9 4 8

1010

2 1) 9 4 8

Step 2 in 2 Digit Long DivisionStep 2 in 2 Digit Long Division

Multiply your divisor, Multiply your divisor, 21, with your new 21, with your new number in the quotient, number in the quotient, 5.5.

Place your answer directly under the 108.

1

4

804

8

5

1 0 5

2. Multiply2. Multiply

1111

Step 3 in 2 Digit Long DivisionStep 3 in 2 Digit Long Division

Draw a line under the bottom Draw a line under the bottom number, 105number, 105..

Draw a subtraction sign.

Subtract & place answer under the line. 3

4

804

8

5

1 51

0

2 1) 9 4 8

3. Subtract3. Subtract

1212

Step 4 in 2 Digit Long DivisionStep 4 in 2 Digit Long Division

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

4. Bring down4. Bring down

3

4

804

8

5

1 51

0

2 1) 9 4 8

1313

Step 5 in 2 Digit Long DivisionStep 5 in 2 Digit Long Division

If the 21 will not divide If the 21 will not divide into your new number, into your new number, 3, & there is nothing to 3, & there is nothing to bring down, you are bring down, you are donedone..

3

81 51

00

8 4

4 5

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

R35. Repeat or Remainder5. Repeat or Remainder

2 1) 9 4 8

1414

2 Digit Long Division2 Digit Long Division

3

81 51

00

8 4

4 5

Write your remainder in the form of a fractions and simplify

3

2 1) 9 4 821__ = 1

7__

1515

Solve this problemSolve this problem

31 )3 7 5 91

3 1-6 5

2

62-3 9

1

3 1-8

831__

1616

Solve this problemSolve this problem

19 )6 8 4 33

5 7-1 1 4

6

1 1 4-0 3

0

0-3

319__

1717

Solve this problemSolve this problem

18 )1 8 2 11

1 8-0 2

0

0-2 1

1

1 8-3

1 1

318__ 1

6__

=