Long Division Tutorial,How to do Long Division

This long division tutorial section demonstrates some examples of how to do  LONG  division.

Despite being a bit tedious at times, LONG  division is actually fairly similar to SHORT  division in principle.

It really doesn't have to be as intimidating as some people often believe.

Long Division Tutorial,How to do Long Division Examples

(1.1)

798 &div 21

Solution

We start out setting up the same way as with  Short Division.

21  798

1)

Firstly,  21  does not go into  7,  so like with short division, a  0  goes above.

0
21  798

2)

Now, we look at dividing  79  by  21.

At this point, forget the remainder, just establish how many times  21  will go into  79.

21 × 3  =  63,      LESS THAN 79
21 × 4  =  84,      MORE THAN 79

So ignoring any remainder just now,  21  goes into  79  three times.
So  3  goes above now.

03
21  798

3)

Next we take  21 × 3,  which is  63,  and place it under the  79  in the  "DIVIDEND".

03
21  798

63

Then, subtract this  63  from  79,  and place the result below  63.

03
21  798

− 63
16

4)

Now the next number in the "DIVIDEND" is brought down, and written on the end of  16,  here this is  8.

03
21  798

− 63
168

Then, we divide  168  by  21,  and place the result above in the answer.

168 ÷ 21 = 8
038
21  798

− 63
168

Now lastly, we subtract  21 × 8  from  168,  which just gives  0,
and with no more numbers left to bring down in the DIVIDEND,
this means that the long division is complete.

038
21  798

− 63
168
168
0
798 &div 21 = 38

(1.2)

806 &div 18

Solution

This example will feature a "remainder".

1)

Firstly,  18  does not go into  8,  so a  0  goes above the  8.

0
18  806

2)

Now, ignoring any remainder at this stage,  18  goes into  80  four times, so  4  goes above.

04
18  806

3)

Now, subtract  18 × 4  from  80.

18 × 4 = 72

04
18  806

72
8

4)

Next, the  6  is brought down beside the  8,  to make  86.

04
18  806

72
86

Ignoring remainders again at this point,  18  goes into  86  four times, so another  4  is placed above in the answer.

044
18  806

72
86

Then, the final step is to subtract  18 × 4  from  86.

18 × 4 = 72

044
18  806

72
86
−72
14

With no more numbers left to bring down from the "DIVIDEND", our remainder left over is  14.

806 &div 18  =  44 r14

More division help information on Long Division can be seen at mathsonline.org.

This link will open in a new tab.

1. Home
2.  ›
3. Arithmetic Math
4. › Long Division Tutorial
The text passage is a tutorial on how to perform long division, providing step-by-step examples for two specific problems: 798 ÷ 21 and 806 ÷ 18.
multiple_questions_with_answers

- the passage contains two distinct long division problems.
- solutions and answers are provided for both problems.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Long Division Tutorial,How to do Long Division

This long division tutorial section demonstrates some examples of how to do  LONG  division.

Despite being a bit tedious at times, LONG  division is actually fairly similar to SHORT  division in principle.

It really doesn't have to be as intimidating as some people often believe.

Long Division Tutorial,How to do Long Division Examples

(1.1)

798 &div 21

Solution

We start out setting up the same way as with  Short Division.

21  798

1)

Firstly,  21  does not go into  7,  so like with short division, a  0  goes above.

0
21  798

2)

Now, we look at dividing  79  by  21.

At this point, forget the remainder, just establish how many times  21  will go into  79.

21 × 3  =  63,      LESS THAN 79
21 × 4  =  84,      MORE THAN 79

So ignoring any remainder just now,  21  goes into  79  three times.
So  3  goes above now.

03
21  798

3)

Next we take  21 × 3,  which is  63,  and place it under the  79  in the  "DIVIDEND".

03
21  798

63

Then, subtract this  63  from  79,  and place the result below  63.

03
21  798

− 63
16

4)

Now the next number in the "DIVIDEND" is brought down, and written on the end of  16,  here this is  8.

03
21  798

− 63
168

Then, we divide  168  by  21,  and place the result above in the answer.

168 ÷ 21 = 8
038
21  798

− 63
168

Now lastly, we subtract  21 × 8  from  168,  which just gives  0,
and with no more numbers left to bring down in the DIVIDEND,
this means that the long division is complete.

038
21  798

− 63
168
168
0
798 &div 21 = 38

(1.2)

806 &div 18

Solution

This example will feature a "remainder".

1)

Firstly,  18  does not go into  8,  so a  0  goes above the  8.

0
18  806

2)

Now, ignoring any remainder at this stage,  18  goes into  80  four times, so  4  goes above.

04
18  806

3)

Now, subtract  18 × 4  from  80.

18 × 4 = 72

04
18  806

72
8

4)

Next, the  6  is brought down beside the  8,  to make  86.

04
18  806

72
86

Ignoring remainders again at this point,  18  goes into  86  four times, so another  4  is placed above in the answer.

044
18  806

72
86

Then, the final step is to subtract  18 × 4  from  86.

18 × 4 = 72

044
18  806

72
86
−72
14

With no more numbers left to bring down from the "DIVIDEND", our remainder left over is  14.

806 &div 18  =  44 r14

More division help information on Long Division can be seen at mathsonline.org.

This link will open in a new tab.

1. Home
2.  ›
3. Arithmetic Math
4. › Long Division Tutorial
user
The text passage is a tutorial on how to perform long division, providing step-by-step examples for two specific problems: 798 ÷ 21 and 806 ÷ 18.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS

- The passage contains two distinct long division problems.
- Solutions and answers are provided for both problems.