A free online tool called the remainder calculator shows the remainder of dividing two numbers. With STUDYQUERIES’s online remainder calculator tool, your calculation is quickly completed and your remainder is displayed instantly.

How to Use the Remainder Calculator?

To use the remainder calculator, follow these steps:

  • Step 1: Enter the dividend and divisor in the appropriate fields
  • Step 2: Click “Solve” to get the remainder
  • Step 3: The remainder and quotient will be displayed in the output field

Remainder Calculator

What Are Remainder And Calculator?

The remainder consists of the parts which remain after the division process has been completed. We are left with 1 pen if we distribute 5 pens equally among 4 children. Translated into math, the remaining 1 pen is the remainder. Likewise, if you divide the number 20 with a number 3, the quotient is 6 and the remainder is 2. Remainders are always less than the divisor.

Remainder Calculator
Remainder Calculator

The remainder is the amount left over after the calculations. Numerous times, the remainders are ignored or rounded to give only a whole number answer. The number 2 after the decimal, 5.02, is the remainder, and sometimes it is ignored to give only the whole number answer 5. Let’s learn more about the remainder of mathematics.

Remainder Definition

The remainder is a part of a division. It is a left-over digit from dividing. After a certain number of steps, we get remainders when there is an incomplete division. We have a few things left over after we divide them into groups of an equal number of things. Remember the scenario we discussed earlier, where 15 cookies were shared equally among four children. In other words, 15 cookies had to be divided into four equal groups. Three cookies remained, so three became the remainder.

Greater Than Less Than Calculator

Next, let’s look at another example. Assume that 8 slices of pizza are to be shared equally among two children. How many slices remain unused? The picture below shows how we have divided the slices of pizza equally between the two children. Therefore, there is no remainder, as no pizza pieces remain unshared.

The Way To Better Understand Remainder In Division

The remainder, as its name suggests, is something that “remains” after completing a task. In math, the number 17 cannot be exactly divided by the number 3. After division, the number 2 is left aside as a reminder. As an example, let us assume that you have 15 cookies that you want to share with 3 of your friends, Mary, David, and Jake. You want to share the cookies equally among you and your friends. Distribute them in the following way.

Example Of Remainder
Example Of Remainder

Alternatively, imagine you are entertaining a group of 14 people. There will be 50 muffin appetizers, and you want to serve each individual the same number of muffins. Line up 14 plates and begin distributing the muffins, one by one. Having filled each of the 14 plates with 3 muffins apiece, you realize that there aren’t enough muffins left for another round, so the 8 muffins leftover is extras.

In the scenario just described, the division is involved. By dividing 50 by 14, we found that 14 goes into 50 exactly three times with 8 leftover: 50 /14 = 3 R8. In this problem, 50 is the dividend or the figure we want to divide up; 14 is the divisor or the number we are dividing by. This is how many times the divisor fits into the dividend, in this case, 3. Lastly, the remainder is what’s left.

A division problem’s remainder is an interesting part of the problem. In order to find the remainder of a division problem, we can use a long division of numbers.

Finding Remainders Using Long Division

We are used to using our calculators to perform divisions of numbers. Normally, our calculators do not display the remainder. If we don’t have a calculator available, we should also know how to divide by hand or in our heads.

Finding Remainders Using Long Division
Finding Remainders Using Long Division

Take the example of being at a store and finding an item you need to stock up on. The item costs $5 each, and you have $137 in cash. Make sure you know how many items you can buy and how much money you will have leftover. To accomplish this calculation, we can divide 137 by 5, or 137 / 5. This method is known as long division.

The steps involved with long division will be explained, and we will use the example of 137/5 to illustrate each step.

  • Step 1: Divide your divisor by the first number of your dividend. In case it doesn’t fit, divide it into the first two numbers of your dividend, and so on. The number should appear above your dividend. As we can see from our example, 5 does not go into 1, so we divide 5 into the first two numbers, 13. We have that 5 going into 13 two times, so we write a 2 above our dividend.
  • Step 2: Divide your divisor by the number you just placed above your dividend. Divide this number by your dividend, line it up to the left, and subtract. Bring the remaining numbers to the bottom. For example, we multiply 5 by 2 to get 10. Next, we place 10 under our dividend arranged to the left, then subtract 3 to get 3. There is still a 7 in the dividend, so we reduce it.
  • Step 3: Repeat steps 1 and 2 using the number you created in the bottom row as your dividend, until there are no more numbers to bring down. We will use 37 as our dividend and repeat steps 1 and 2 in our example. So, we divide 5 by 37 to get 7. Next to the last number we place above the dividend, we place 7 above it. We then multiply our divisor, 5, by 7 to get 35. We place 35 under 37 and subtract to get 2. We have no more numbers to bring down, so 2 is our remainder.

How To Represent Remainder?

Divide 7 by 2 using long division to find the quotient and remainder. Dividends can be represented by the quotient, divisor, and remainder written as a mixed fraction. In a mixed fraction, the remainder, the divisor, and the quotient form the numerator, denominator, and whole number parts.

The remainder of the division can be represented in two ways.

  • You can write the quotient and remainder with an “R” between them. Seven divided by two is written as 7/2 = Q=3 and R=1. Q=3 is a quotient, and R=1 is a remainder.
  • Another way to represent the remainder is to show it as a part of a mixed fraction. 7 divided by 2 can be written as 7/2 = 312

Properties Of Remainder

The remainder has the following properties:

  • There is always a remainder less than the divisor. A remainder that is greater or equal to the divisor indicates that the division is incorrect.
  • When a number (divisor) divides another number (dividend) completely, the remainder is 0.
  • You can have a remainder that is greater, smaller, or equal to the quotient.


What is the remainder in the math example?

When the first number doesn’t divide exactly by the second number (happens when the first number doesn’t divide exactly by the second). For example, 19 cannot be divided exactly by 5. The closest you can get to 19 without going over is 3 x 5, which is 4 less than 19.

How do you find the remainder in math?

Calculate the division using your calculator. Once you have your answer in decimal form, subtract the whole number, then multiply the decimal value left by the divisor of your original problem. The remainder is the result.

How do you explain a remainder?

A remainder in mathematics is what’s leftover in a division problem. In the division process, the number we want to divide up is known as the dividend, while the number we are dividing by is referred to as the divisor; the result is the quotient. We can find the remainder of a division problem by using long division.

What is the remainder when 599 is divided by 9?

The remainder is 5.