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# Quotient and Remainder Calculator

Put the dividend along divisor in the tool fileds, and the remainder calculator will divide them to evaluate the remainder and quotient.

Dividend ÷ Divisor = Quotient R Remainder

Example: 25 ÷ 7 = 3 R 4

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The remainder calculator helps you to divide any number and expresses the final results as a mixed number, where the whole number part represents the quotient and the fractional part represents the remainder.

## Dividend, Divisor, Quotient, and Remainder:

• The number we're dividing is called the Dividend
• The number that divides the dividend is known as the Divisor
• The result of the division is known as the Quotient
• The amount that is leftover after performing division operations is known as the Remainder

## Remainder Formula:

The below equation holds the key to understanding how the four division operations interact. So follow the below formula: For the division of 30 ÷ 8
• Divisor = 8
• Dividend = 30
• Remainder = 6
• Quotient = 3

## How to Calculate the Remainder?

Step # 1: Perform the Division: Divide the dividend by the divisor. For Example you want to calculate 12 ÷ 4 = 3
Step # 2: Identify the Whole Number Part: The whole number part of the result is the quotient. So, the whole part = 3.
Step # 3: Multiply the Divisor by the Quotient: Multiply the divisor by the quotient. So, we get: 4 × 3 = 12
Step # 4: Subtract the Product: Subtract the product obtained from the dividend to get remainder. 12 - 12 = 0
Step # 5: Express the Remainder: The remainder is the amount left over after performing the division. So, remainder = 0.

## Additional Queries:

### What is meant by Long Division?

Long division is the method for dividing a large number (dividend) by a smaller number (divisor) to get a quotient and remainder. This process continues until the remainder is no longer divisible by the divisor.

### What is the Remainder of 9602 Divided by 3?

The remainder is 2, for 9602 ÷ 3.

### How do you Write a Remainder as a Fraction?

When you find out the remainder, as an alternative R simply write a fraction where the remainder is divided by the divisor. i.e, R / D Example: 30/8 = 3(8/6)

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