What is 40 Divided by 3 Using Long Division? (2024)

Confused by long division? By the end of this article you'll be able to divide 40 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 40 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, 40, 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 40 divided by 3 and explain each of them so you understand exactly what is going on.

40 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:

340

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (4), 1 time(s). Now we know that, we can put 1 at the top:

1
340

Step 3

If we multiply the divisor by the result in the previous step (3 x 1 = 3), we can now add that answer below the dividend:

1
340
3

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 3 = 1) and write that answer below:

1
340
-3
1

Step 5

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

1
340
-3
10

Step 6

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

13
340
-3
10

Step 7

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

13
340
-3
10
9

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

13
340
-3
10
-9
1

So, what is the answer to 40 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 40 divided by 3, the final solution is:

13

Remainder 1

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Extra calculations for you

Now you've learned the long division approach to 40 divided by 3, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 40 divided by 3, you'd get 13.3333.
  • You could also express 40/3 as a mixed fraction: 13 1/3
  • If you look at the mixed fraction 13 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (13).

Long Division Calculator

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What is 40 Divided by 3 Using Long Division? (2024)

FAQs

What is 38 divided by 3 long division? ›

Answer and Explanation:

38 divided by 3 is equal to 12 2/3 or 12.66666..., where the sixes go on forever past the decimal point. In general, the quotient, q, of the division problem a ÷ 3 is equal to the number of times 3 fits into a evenly. The remainder, r, is what's left over after 3 has fit into a q times.

What is 40 divided by 3 in percentage? ›

Steps to Convert Ratio into a Percent

To convert a ratio into a percent, we express the given ratio as a fraction, 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 1333.3333%.

How to split 40 in 3 ways? ›

40 divided by 3 is equal to the repeating decimal 13.33333. . . or the exact number 13 1/3. When we are dividing a number x by 3, there are three possibilities for remainders, and those are 0, 1, or 2.

What is an example of long division? ›

Long Division with No Remainder

Consider the problem 31,008 divided by 608. The numbers 3, 31, and 310 are not divisible in any way by 608, but 608 can go into 3,100 a total of 5 times. The product of 5 and 608 is 3,040. Subtract 3,040 from 3,100 and the answer is 60.

What are the four steps in order to long division? ›

For long division problems, remember to follow the divide, multiply, subtract, and drop down process until each digit in the dividend has been divided.

What is 80 divided by 3 in long division? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (6) by the divisor 3 . Subtract 18 from 20 . The result of division of 80÷3 80 ÷ 3 is 26 with a remainder of 2 .

What is 20 divided by 3 long division? ›

20 divided by 3 equals 6 with a remainder of 2 (20 / 3 = 6 R. 2). When you divide 20 by 3, it does not come out evenly because 3 is not a factor of 20. For example, you can't split twenty balloons into three even groups, so you would have six even groups of three balloons, with two balloons left over.

How to solve 43 divided by 3? ›

The answer to 43 divided by 3 is 14 with a remainder of 1 (43 / 3 = 14 R. 1). Another way to look at this is to split 43 into groups of 3. You would end up with 14 full groups and 1 left over.

What is 40 percent of what is 3? ›

Answer and Explanation:

3 is 40 percent of 7.5. To find the answer to this question, you will first convert the word problem to an equation. We can change 40 percent to a decimal by moving the decimal two places to the left.

What is a third of 40? ›

1/3 of 40 is 40/3=13.

What is the division of 40? ›

Thus, the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40. Note: If we divide 40 by any numbers other than 1, 2, 4, 5, 8, 10, 20 and 40, it leaves the remainder and hence, they are not the factors of 40.

References

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