# How to do division with remainders step by step

## How to Teach Long Division Polynomials - Long Division

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Division is a core life skill. Calculating the fraction someone is owed or should receive — for instance when splitting a check or dividing the costs of a trip — is a mathematical challenge you are likely to encounter on an almost daily basis. This instructable will teach you how to find the answer to a division problem, also known as the quotient. It will also teach you how to solve division problems that have remainders. Did you use this instructable in your classroom?

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Arithmetic Multiplication and division Remainders. Understanding remainders. Practice: Divide with remainders 2-digit by 1-digit.

In this article I explain how to teach long division in several steps. Instead of showing the whole algorithm to the students at once, we truly take it "step by step". Long division is an algorithm that repeats the basic steps of 1 Divide; 2 Multiply; 3 Subtract; 4 Drop down the next digit. Of these steps, 2 and 3 can become difficult and confusing to students because they don't seemingly have to do with division —they have to do with finding the remainder. To avoid the confusion, I advocate teaching long division in such a fashion that children are NOT exposed to all of those steps at first. Instead, you can teach it in several "steps" :. We divide numbers where each of the hundreds, tens, and ones digits are evenly divisible by the divisor.

Show less A part of basic arithmetic, long division is a method of solving and finding the remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen your understanding of mathematics in ways that will be beneficial both in school and in other parts of your life. To do long division, follow these seven steps: Step 1.

## Long Division with Remainders

Long Division with Remainders

## How to Divide

However, sometimes our division problems will not come out evenly, and we will have another number not 0 when we do the last subtraction problem. This leftover number is called a remainder , and it is written as part of the quotient. Follow along with this example:. The red circled number at the bottom our remainder. You do not have to circle the remainder; we just circled ours so that you know which number it is. Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.

## Long division with remainders: 3771?8

Taking an example similar to that on the Long Division page it becomes more clear:. If you feel happy with the process on the Long Division page you can skip the first bit. With a long division with remainders the answer is expressed as 17 remainder 10 as shown in the diagram. Hide Ads About Ads. Long Division with Remainders When we are given a long division to do it will not always work out to a whole number. Sometimes there are numbers left over. These are called remainders.

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1. Relrepaho1995 says:
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