Find remainder when 8^(35) is divided by 15

1st number: 8/35, 2nd number: 1 7/8

8/35 ÷ 15/8 is 64/525.

Steps for dividing fractions

  1. Find the reciprocal of the divisor
    Reciprocal of 15/8: 8/15
  2. Now, multiply it with the dividend
    So, 8/35 ÷ 15/8 = 8/35 × 8/15
  3. = 8 × 8/35 × 15 = 64/525

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Confused by long division? By the end of this article you'll be able to divide 35 by 15 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 35 divided by 15 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, 35, is called the dividend.
  • The second number, 15 is called the divisor.

What we'll do here is break down each step of the long division process for 35 divided by 15 and explain each of them so you understand exactly what is going on.

35 divided by 15 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:

We can work out that the divisor (15) goes into the first digit of the dividend (3), 0 time(s). Now we know that, we can put 0 at the top:

If we multiply the divisor by the result in the previous step (15 x 0 = 0), we can now add that answer below the dividend:

Next, we will subtract the result from the previous step from the second digit of the dividend (3 - 0 = 3) and write that answer below:

Move the second digit of the dividend (5) down like so:

The divisor (15) goes into the bottom number (35), 2 time(s), so we can put 2 on top:

If we multiply the divisor by the result in the previous step (15 x 2 = 30), we can now add that answer below the dividend:

Next, we will subtract the result from the previous step from the third digit of the dividend (35 - 30 = 5) and write that answer below:

So, what is the answer to 35 divided by 15?

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 35 divided by 15, the final solution is:

2

Remainder 5

Extra calculations for you

Now you've learned the long division approach to 35 divided by 15, here are a few other ways you might do the calculation:

  • Using a calculator, if you typed in 35 divided by 15, you'd get 2.3333.
  • You could also express 35/15 as a mixed fraction: 2 5/15
  • If you look at the mixed fraction 2 5/15, you'll see that the numerator is the same as the remainder (5), the denominator is our original divisor (15), and the whole number is our final answer (2).

Long Division Calculator

Next Long Division Problem

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Welcome to 35 divided by 15, our post which explains the division of thirty-five by fifteen to you. 🙂

The number 35 is called the numerator or dividend, and the number 15 is called the denominator or divisor.

The quotient of 35 and 15, the ratio of 35 and 15, as well as the fraction of 35 and 15 all mean (almost) the same:

35 divided by 15, often written as 35/15.

Read on to find the result of 35 divided by 15 in decimal notation, along with its properties.

Find remainder when 8^(35) is divided by 15

Calculator

Simply the Best Division Calculator and Information! Please ReTweet. Click To TweetThe Long Division Steps are explained here.

What is 35 Divided by 15?

We provide you with the result of the division 35 by 15 straightaway:

35 divided by 15 = 2.3The result of 35/15 is a non-terminating, repeating decimal.The repeating pattern above, 3, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 35/15 = 2.(3): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 35 / 15 = 2.3… .

  • 35 divided by 15 in decimal = 2.3
  • 35 divided by 15 in fraction = 35/15
  • 35 divided by 15 in percentage = 233.33333333%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 35 and 15, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 35, and the denominator, e.g. 15, have been inserted.

No need to press the button, unless you want to start over.

Give it a try now with a similar division by 15.

What is the Quotient and Remainder of 35 Divided by 15?

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 35 divided by 15 = 2 R 5
The quotient (integer division) of 35/15 equals 2; the remainder (“left over”) is 5.

35 is the dividend, and 15 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of thirty-five over fifteen, followed by the summary of our information.

Thirty-Five Divided by Fifteen

You already know what 35 / 15 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.

The FAQs include, for example:

  • What is 35 divided by 15?
  • How much is 35 divided by 15?
  • What does 35 divided by 15 equal?

If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 35 and 15.

Find remainder when 8^(35) is divided by 15
Observe that you may also locate many calculations such as 35 ÷ 15 using the search form in the sidebar.

The result page lists all entries which are relevant to your query.

Give the search box a go now, inserting, for instance, thirty-five divided by fifteen, or what’s 35 over 15 in decimal, just to name a few potential search terms.

Further information, such as how to solve the division of thirty-five by fifteen, can be found in our article Divided by, along with links to further readings.

Conclusion

To sum up, 35/15 = 2.(3). The indefinitely repeating sequence of this decimal is 3.

As division with remainder the result of 35 ÷ 15 = 2 R 5.

You may want to check out What is a Long Division?

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