What is 682 divided by 851 using long division?

Confused by long division? By the end of this article you'll be able to divide 682 by 851 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.

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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, 682, is called the dividend.
  • The second number, 851 is called the divisor.

What we'll do here is break down each step of the long division process for 682 divided by 851 and explain each of them so you understand exactly what is going on.

682 divided by 851 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:

851682

Step 2

We can work out that the divisor (851) goes into the first digit of the dividend (6), 0 time(s). Now we know that, we can put 0 at the top:

0
851682

Step 3

If we multiply the divisor by the result in the previous step (851 x 0 = 0), we can now add that answer below the dividend:

0
851682
0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (6 - 0 = 6) and write that answer below:

0
851682
-0
6

Step 5

Move the second digit of the dividend (8) down like so:

0
851682
-0
68

Step 6

The divisor (851) goes into the bottom number (68), 0 time(s), so we can put 0 on top:

00
851682
-0
68

Step 7

If we multiply the divisor by the result in the previous step (851 x 0 = 0), we can now add that answer below the dividend:

00
851682
-0
68
0

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (68 - 0 = 68) and write that answer below:

00
851682
-0
68
-0
68

Step 9

Move the third digit of the dividend (2) down like so:

00
851682
-0
68
-0
682

Step 10

The divisor (851) goes into the bottom number (682), 0 time(s), so we can put 0 on top:

000
851682
-0
68
-0
682

Step 11

If we multiply the divisor by the result in the previous step (851 x 0 = 0), we can now add that answer below the dividend:

000
851682
-0
68
-0
682
0

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (682 - 0 = 682) and write that answer below:

000
851682
-0
68
-0
682
-0
682

So, what is the answer to 682 divided by 851?

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 682 divided by 851, the final solution is:

0

Remainder 682

Cite, Link, or Reference This Page

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  • "What is 682 Divided by 851 Using Long Division?". VisualFractions.com. Accessed on April 18, 2021. https://visualfractions.com/calculator/long-division/what-is-682-divided-by-851-using-long-division/.

  • "What is 682 Divided by 851 Using Long Division?". VisualFractions.com, https://visualfractions.com/calculator/long-division/what-is-682-divided-by-851-using-long-division/. Accessed 18 April, 2021.

  • What is 682 Divided by 851 Using Long Division?. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/long-division/what-is-682-divided-by-851-using-long-division/.

Extra calculations for you

Now you've learned the long division approach to 682 divided by 851, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 682 divided by 851, you'd get 0.8014.
  • You could also express 682/851 as a mixed fraction: 0 682/851
  • If you look at the mixed fraction 0 682/851, you'll see that the numerator is the same as the remainder (682), the denominator is our original divisor (851), and the whole number is our final answer (0).

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What is 682 divided by 852 using long division?

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