Confused by long division? By the end of this article you'll be able to divide 5 by 7 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look. Show
Want to quickly learn or show students how to solve 5 divided by 7 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:
What we'll do here is break down each step of the long division process for 5 divided by 7 and explain each of them so you understand exactly what is going on. 5 divided by 7 step-by-step guideStep 1The 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 (7) goes into the first digit of the dividend (5), 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 (7 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 (5 - 0 = 5) and write that answer below: So, what is the answer to 5 divided by 7?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 5 divided by 7, the final solution is: 0 Remainder 5 Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
Extra calculations for youNow you've learned the long division approach to 5 divided by 7, here are a few other ways you might do the calculation:
Long Division CalculatorNext Long Division ProblemEager for more long division but can't be bothered to type two numbers into the calculator above? No worries. Here's the next problem for you to solve: What is 5 divided by 8 using long division? Random Long Division ProblemsIf you made it this far down the page then you must REALLY love long division problems, huh? Below are a bunch of randomly generated calculations for your long dividing pleasure: This quotient and remainder calculator helps you divide any number by an integer and calculate the result in the form of integers. In this article, we will explain to you how to use this tool and what are its limitations. We will also provide you with an example that will better illustrate its purpose.
When you perform division, you can typically write down this operation in the following way: a/n = q + r/nwhere:
When performing division with our calculator with remainders, it is important to remember that all of these values must be integers. Otherwise, the result will be correct in the terms of formulas, but will not make mathematical sense. Make sure to check our modulo calculator for a practical application of the calculator with remainders. 🔎 If the remainder is zero, then we say that a is divisible by n. To learn more about this concept, check out Omni's divisibility test calculator.
It's useful to remember some remainder shortcuts to save you time in the future. First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder. Lastly, you can multiply the decimal of the quotient by the divisor to get the remainder.
Learning how to calculate the remainder has many real-world uses and is something that school teaches you that you will definitely use in your everyday life. Let’s say you bought 18 doughnuts for your friend, but only 15 of them showed up, you’d have 3 left. Or how much money did you have left after buying the doughnuts? If the maximum number of monkeys in a barrel is 150, and there are 183 monkeys in an area, how many monkeys will be in the smaller group?
The quotient is the number of times a division is completed fully, while the remainder is the amount left that doesn’t entirely go into the divisor. For example, 127 divided by 3 is 42 R 1, so 42 is the quotient, and 1 is the remainder.
Once you have found the remainder of a division, instead of writing R followed by the remainder after the quotient, simply write a fraction where the remainder is divided by the divisor of the original equation. It's that easy!
There are 3 ways of writing a remainder: with an R, as a fraction, and as a decimal. For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1/4 in the second, and 205.25 in the third.
The remainder is 2. To work this out, find the largest multiple of 6 that is less than 26. In this case, it’s 24. Then subtract the 24 from 26 to get the remainder, which is 2.
The remainder is 5. To calculate this, first, divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66. Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder.
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