Use this calculator to find the remainder by dividing any two integers. In this article, I will guide you through the parts of Division and how to get quotient and remainder.  

Parts of Division

This is what a typical division equation looks like.

a ¸ b = q R x

Dividend

This refers to the number that is being divided in a division equation. For example, a is the dividend from the above equation.

The formula for finding the dividend is: Dividend = Divisor × Quotient + Remainder

Divisor

 This refers to the number you divide the dividend by. In the example above, b is the dividend.

Quotient

 It refers to the answer you get from dividing the dividend by the divisor, rounded off to the nearest integer.

Formula: Quotient = Dividend ¸ Divisor

Remainder

 Refers to the remainder

Example 1

Find the remainder of the dividend is 90, the divisor is 6, and the quotient is 15.

In this example, we will use the dividend, divisor, quotient, and remainder formula to find the remainder

Dividend = Divisor × Quotient + Remainder

90= 6 × 15 + r

90 = 90 + r

R = 90 – 90

r = 0

The remainder is 0

Example 2

Find the Quotient. If the Dividend is 13, the divisor is 2, and the remainder is 1

In this example, we will use long division to find the quotient since we have both the dividend and the divisor.

How to calculate the remainder step by step

1. Write down the problem

For example Divide 351 by 4

2. Distinguish the divisor and the dividend

Dividend = 351

Divisor = 4

3. Perform division and write down your answer. Include the decimals too if any.

351 ¸ 4 = 87.75

4. Round down the number to get the quotient 87

5. Multiply the answer in step 4 by the divisor

87 × 4 = 348

6. Subtract the number in step 5 from the dividend to get the remainder

351 – 348 = 3

You can save time by using our quotient remainder calculator.