What is 5327 divided by 13 using long division?
5327 ÷ 13 = 409 remainder 10 (as a decimal: ≈ 409.7692)
Confused by long division? By the end of this article you'll be able to divide 5327 by 13 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.
Want to quickly learn or show students how to solve 5327 divided by 13 using long division? Play this very quick and fun video now!
Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:
- The first number, 5327, is called the dividend.
- The second number, 13 is called the divisor.
What we'll do here is break down each step of the long division process for 5327 divided by 13 and explain each of them so you understand exactly what is going on.
5327 divided by 13 step-by-step guide
Step 1
The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:
| 1 | 3 | 5 | 3 | 2 | 7 |
Step 2
We can work out that the divisor (13) goes into the first digit of the dividend (5), 0 time(s). Now we know that, we can put 0 at the top:
| 0 | |||||||||
| 1 | 3 | 5 | 3 | 2 | 7 |
Step 3
If we multiply the divisor by the result in the previous step (13 x 0 = 0), we can now add that answer below the dividend:
| 0 | |||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| 0 |
Step 4
Next, we will subtract the result from the previous step from the second digit of the dividend (5 - 0 = 5) and write that answer below:
| 0 | |||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 |
Step 5
Move the second digit of the dividend (3) down like so:
| 0 | |||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 |
Step 6
The divisor (13) goes into the bottom number (53), 4 time(s), so we can put 4 on top:
| 0 | 4 | ||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 |
Step 7
If we multiply the divisor by the result in the previous step (13 x 4 = 52), we can now add that answer below the dividend:
| 0 | 4 | ||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| 5 | 2 |
Step 8
Next, we will subtract the result from the previous step from the third digit of the dividend (53 - 52 = 1) and write that answer below:
| 0 | 4 | ||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 |
Step 9
Move the third digit of the dividend (2) down like so:
| 0 | 4 | ||||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 |
Step 10
The divisor (13) goes into the bottom number (12), 0 time(s), so we can put 0 on top:
| 0 | 4 | 0 | |||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 |
Step 11
If we multiply the divisor by the result in the previous step (13 x 0 = 0), we can now add that answer below the dividend:
| 0 | 4 | 0 | |||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 | ||||||||
| 0 |
Step 12
Next, we will subtract the result from the previous step from the fourth digit of the dividend (12 - 0 = 12) and write that answer below:
| 0 | 4 | 0 | |||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 | ||||||||
| - | 0 | ||||||||
| 1 | 2 |
Step 13
Move the fourth digit of the dividend (7) down like so:
| 0 | 4 | 0 | |||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 | ||||||||
| - | 0 | ||||||||
| 1 | 2 | 7 |
Step 14
The divisor (13) goes into the bottom number (127), 9 time(s), so we can put 9 on top:
| 0 | 4 | 0 | 9 | ||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 | ||||||||
| - | 0 | ||||||||
| 1 | 2 | 7 |
Step 15
If we multiply the divisor by the result in the previous step (13 x 9 = 117), we can now add that answer below the dividend:
| 0 | 4 | 0 | 9 | ||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 | ||||||||
| - | 0 | ||||||||
| 1 | 2 | 7 | |||||||
| 1 | 1 | 7 |
Step 16
Next, we will subtract the result from the previous step from the fifth digit of the dividend (127 - 117 = 10) and write that answer below:
| 0 | 4 | 0 | 9 | ||||||
| 1 | 3 | 5 | 3 | 2 | 7 | ||||
| - | 0 | ||||||||
| 5 | 3 | ||||||||
| - | 5 | 2 | |||||||
| 1 | 2 | ||||||||
| - | 0 | ||||||||
| 1 | 2 | 7 | |||||||
| - | 1 | 1 | 7 | ||||||
| 1 | 0 |
So, what is the answer to 5327 divided by 13?
If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.
Your answer is the top number, and any remainder will be the bottom number. So, for 5327 divided by 13, the final solution is:
409
Remainder 10
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Extra calculations for you
Now you've learned the long division approach to 5327 divided by 13, here are a few other ways you might do the calculation:
- Using a calculator, if you typed in 5327 divided by 13, you'd get 409.7692.
- You could also express 5327/13 as a mixed fraction: 409 10/13
- If you look at the mixed fraction 409 10/13, you'll see that the numerator is the same as the remainder (10), the denominator is our original divisor (13), and the whole number is our final answer (409).
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