What is 800 Divided by 3 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 800 by 3 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 800 divided by 3 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, 800, is called the dividend.
  • The second number, 3 is called the divisor.

What we'll do here is break down each step of the long division process for 800 divided by 3 and explain each of them so you understand exactly what is going on.

800 divided by 3 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:

3800

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (8), 2 time(s). Now we know that, we can put 2 at the top:

2
3800

Step 3

If we multiply the divisor by the result in the previous step (3 x 2 = 6), we can now add that answer below the dividend:

2
3800
6

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (8 - 6 = 2) and write that answer below:

2
3800
-6
2

Step 5

Move the second digit of the dividend (0) down like so:

2
3800
-6
20

Step 6

The divisor (3) goes into the bottom number (20), 6 time(s), so we can put 6 on top:

26
3800
-6
20

Step 7

If we multiply the divisor by the result in the previous step (3 x 6 = 18), we can now add that answer below the dividend:

26
3800
-6
20
18

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (20 - 18 = 2) and write that answer below:

26
3800
-6
20
-18
2

Step 9

Move the third digit of the dividend (0) down like so:

26
3800
-6
20
-18
20

Step 10

The divisor (3) goes into the bottom number (20), 6 time(s), so we can put 6 on top:

266
3800
-6
20
-18
20

Step 11

If we multiply the divisor by the result in the previous step (3 x 6 = 18), we can now add that answer below the dividend:

266
3800
-6
20
-18
20
18

Step 12

Next, we will subtract the result from the previous step from the fourth digit of the dividend (20 - 18 = 2) and write that answer below:

266
3800
-6
20
-18
20
-18
2

So, what is the answer to 800 divided by 3?

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 800 divided by 3, the final solution is:

266

Remainder 2

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Extra calculations for you

Now you've learned the long division approach to 800 divided by 3, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 800 divided by 3, you'd get 266.6667.
  • You could also express 800/3 as a mixed fraction: 266 2/3
  • If you look at the mixed fraction 266 2/3, you'll see that the numerator is the same as the remainder (2), the denominator is our original divisor (3), and the whole number is our final answer (266).

Long Division Calculator

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What is 800 Divided by 3 Using Long Division? (2024)

FAQs

How do you divide 80 by 3? ›

80 divided by 3 is 26.6 repeating, or 26.7 when rounded to the nearest tenth. Another way to say it is 26 with a remainder of 2. We can see that 80 is not a multiple of 3 because 8 + 0 = 8, and 8 is not a multiple of 3. So, you can expect to be left with a remainder in this problem.

How do you divide using the long division method? ›

Long Division Steps

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor. Step 2: Then divide it by the divisor and write the answer on top as the quotient. Step 3: Subtract the result from the digit and write the difference below.

What is the remainder of 3 divided by 80? ›

The result of division of 80÷3 80 ÷ 3 is 26 with a remainder of 2 .

What is 80 divided by 3 as a percent? ›

To convert a fraction into a percent, we multiply the fraction by 100 and put the percent sign %. So, to find what is as a percentage, multiply the fraction by 100 to get the percent. Therefore, as a percent is 2666.667%.

What does it mean to divide using long division? ›

Long Division is an instrument that allows you to divide large numbers into multiple smaller groups or parts. When we divide a dividend with a divisor, the quotient obtained is the number of groups that can be made, and the remainder identifies how many elements or numbers that will be left ungrouped.

Why is long division hard? ›

Contrary to simple division, long division always involves several computational steps, and cannot be solved by a single retrieval from long-term memory. Even the simplest long division of one-digit number divided by one-digit number (e.g., 5/2) requires to compute a quotient and a remainder.

Can 81 go into 3? ›

The result of division of 81÷3 81 ÷ 3 is 27 .

What is 80 divided by 3 as a mixed number? ›

Solution: 80/3 as a mixed number is 26 2/3.

What is 3 out of 80? ›

Solution: 3/80 as a percent is 3.75%

How do you divide 80? ›

Factors of 80 by Division Method
  1. 80/1 = 80 (Factor is 1 and Remainder is 0)
  2. 80/2 = 40 (Factor is 2 and Remainder is 0)
  3. 80/4 = 20 (Factor is 4 and Remainder is 0)
  4. 80/5 = 16 (Factor is 5 and Remainder is 0)
  5. 80/8 = 10 (Factor is 8 and Remainder is 0)
  6. 80/10 = 8 (Factor is 10 and Remainder is 0)

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