Remainder Calculator

You can simply calculate the division of any number by an integer with our quotient and remainder calculator and obtain the result in the form of integers.

When we divide one number by another, the dividend is the number that is divided.

Smith, for example, has 9 Jellies for his 4 kids. He divides 9 jelly cubes by 4 kids, yielding 2 jelly cubes for each youngster and 1 jelly left over. In this case, the dividend is 9, the divisor is 4, the quotient is 2, and the remainder is 1.

9 = (4 x 2)+1

Remainder Calculator Use

  • This calculator is simple to use and run.
  • Enter the dividend and divisor values in the appropriate fields and click the calculate button.
  • The calculator will handle the rest.
  • Both the remainder and the quotient will be shown as integers as a result.
  • It should be noted that the dividend and divisor values must be integers.

How to Calculate the Remainder

We will understand the process of finding the remainder by one of the example. By the end of this example you will be able to find the remainder manually without using any calculator.

Example : 247 by 3

Solution :

If you divide the integer 247÷3 on any simple calculator you will get the result as 82.3333333

So, how do we convert the result into an integer? The solution is easy; simply follow the instructions outlined below.

  • Simply round the number whenever the result is in decimal form. In our case (247/3) the result is 82.3333333, hence we get 82 by rounding the value.
  • Next, multiply the rounded number by the divisor, which is 82 x 3 = 246.
  • Finally, subtract the acquired result from the original dividend i.e 247 – 246 = 1.
  • The remainder value is 1

Long Division with Remainder

Another way to find the remainder is to use the long division method. This method may seem complex at first glance, but we assure you that it is also the simplest. We guarantee that reading the instructions below will clear up any uncertainties you may have and that you will be able to perform the long division method independently.

We will understand this method by the same example that we discussed above (247/3).

Use the long division symbol or the long division bracket to set up the division problem. The dividend is the number you’re dividing, and the divisor is the number by which the dividend is divided. The dividend in this example is 243, while the divisor is 3. Inside the bracket, put the dividend (247) and outside the bracket, put the divisor (3).

Divide the dividend’s first two digits (24) by the divisor (3). So 24/3 equals 8.

So 24 divided by 3 equals 8 with a remainder of 0.

Now take down the remaining value of dividend (7) besides the remainder (0)

Divide the remaining value 7, by the same divisor 3, for a result of 2 with the remainder 1.

The graphic shows that the dividend is 247, the divisor is 3, the quotient is 82, and the remainder is 1.

For larger dividends, repeat the preceding stages until you have brought down every digit from the dividend and solved the problem.