Remainder Calculator

Table of contents:
If you want to divide a number by an integer to get a result in integer form, then you’ve come to the right place. To carry out this task, you are going to use a remainder calculator, or at least know how to work it out by hand.

Below, you can learn all about using the remainder calculator, what it can and can’t do, and why you would use it.

Remainder Calculator: Remainder, Quotient, Dividend, and Divisor

If you were to work out an integer by hand, without the use of a remainder calculator, it would look like this: 

a/n = q + r/n

A = the initial number you will divide (dividend) 
N = The number you are dividing it by (divisor) 
Q = The figure resulting from the division of the nearest integer, rounded (quotient) 
R = the remainder

What you must know, firstly, is that all values used in the division process with the remainder calculator should be integers. If they aren’t, the formula will be correct, but it will not make any sense.

How Do You Calculate the Remainder?

Follow these steps below to learn how to calculate the remainder. Alternatively, you can use a remainder calculator! 

   1.	Write down your problem. In this example, we are dividing 445 by 6. 

   2.	Identify the dividend and the divisor. The dividend will be what you are dividing (445), and the divisor will be the number that does all the work (6). 

   3.	Work it out, then round it down. It might not be an integer. 
445/6 = 74.16
Rounded down = 74

   4.	Multiply the answer (74) by the divisor (6). 
74 x 6 = 444

   5.	Take away the previous step’s number (444) from the dividend to identify the remainder. 
445 – 444 = 1

Then, you can work out your problems by hand, or use the remainder calculator to do it for you.

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