The amount of the reminder "leftover" after performing some computation. In arithmetic, the remainder is an integer "leftover" while you divide one integer by another to supply an integer quotient (integer division).

$$\frac{12}{4}\ using\ long\ divison.$$
Write the problem in the special format:
$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cc}\phantom{0}&\phantom{3}\end{array}&\\4&\phantom{-}
\enclose{longdiv}{\begin{array}{cc}1&2\end{array}}&\\&\begin{array}{ll}\end{array}&\begin{array}{c}\end{array}\end{array}$$
Step 1
How many 4's are in 1? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 1−0⋅4=1−0=1.

Bring down the next digit of the dividend.
$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cc}\color{SaddleBrown}
{0}&\phantom{3}\end{array}&\\\color{Magenta}{4}&\phantom{-}\enclose{longdiv}{\begin{array}{cc}\color{SaddleBrown}{1}& 2 \downarrow\end{array}}&\\&\begin
{array}{ll}-&\phantom{2}\\\phantom{lll}0\\\hline\phantom{lll}1&2\end{array}&\begin{array}{c}\end{array}\end{array}$$
Step 2
How many 4's are in 12? The answer is 3.

Write down the calculated result in the upper part of the table.

Now, 12−3⋅4=12−12=0.
$$\require{enclose}\begin{array}{rlc}&\phantom{-\enclose{longdiv}{}}\begin{array}{cc}0&\color{Crimson}{3}\end{array}&
\\\color{Magenta}{4}&\phantom{-}\enclose{longdiv}{\begin{array}{cc}1&2\end{array}}&\\&\begin{array}{ll}-&\phantom{2}
\\\phantom{lll}0\\\hline\phantom{lll}\color{Crimson}{1}&\color{Crimson}{2}
\\-&\phantom{2}\\\phantom{lll}1&2\\\hline\phantom{lll}&0\end{array}&\begin{array}{c}\end{array}\end{array}$$
Since the remainder is zero, then we are done.

Therefore
$$\frac{12}{4}=3+\frac{0}{4}=3$$

For Example Answer :

$$\frac{12}{4}=3$$

In mathematics, the amount of the reminder "leftover" after performing some computation. In arithmetic, the remainder is an integer "leftover" while you divide one integer by another to supply an integer quotient (integer division).

In the algebra of polynomials, the rest is that the polynomial "leftover" after dividing one polynomial by another. The modulo operation is the operation that produces such a remainder when given a dividend and divisor.

When you perform division, you'll typically write down this operation in the following way:

a/n = q + r/n

**a**is that the initial number you would like to divide called the dividend.**n**is that the number you divide by; it's called the divisor.**q**is that the results of division rounded right down to the closest integer; it's called the quotient.**r**is that the remainder of this mathematical process.

When performing division with our calculator with remainders, it's important to recollect that each one of those values must be integers. Otherwise, the results are going to be correct within terms of formulas, but won't make mathematical sense. Make sure to see our module calculator for an application of the calculator with remainders.

- Begin with writing down your problem. For instance, you would like to divide 346 by 7.
- Decide on which of the numbers is that the dividend, and which is that the divisor. The dividend is that the number that the operation is performed on - during this case, 346. The divisor is that the number that really "does the work" - during this case, 7.
- Perform the division - you'll use any calculator you like. You’ll get a result that the majority probably isn't an integer - during this example, 49.4285714.
- Write this number down. In our example, you'll get 49.
- Multiply the amount you obtained within the previous step by the divisor. In our case, 49 * 7 = 343.
- Subtract the amount from the previous step from your dividend to urge the remainder. 346 - 343 = 3.
- As our tool is a free and online web-based tool so you can always use our tool that will save you a lot of time.

*How to use our remainder calculator tool by taskvio.com*

To use our remainder calculator tool you don’t have to do anything rather than just typing some digits in our tool as we have provided here, we have also written in the box where you have to write what things.

As you can see in this tool you have two boxes where you have to enter the value one is the dividend, and the second one is the devisor.

In dividend, you have to enter the dividend value.

And the devisor blank text box you have to enter the divisor value.

Now what you have to do is you have to click on the calculate button to get the result.

We have also provided an example that you can check manually or use our tool to confirm the result.

Tips: you can bookmark our tool to use it in the future so you don’t have to worry about anything else you will come open your browser and you will start using it. You don’t have to research it again.

A.