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**Table of Content**

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.

- 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**

The below equation holds the key to understanding how the four division operations interact. So follow the below formula:

For the division of **30 Ã· 8**

**Divisor = 8****Dividend = 30****Remainder = 6****Quotient = 3**

**Step # 1: Perform the Division: **

Divide the dividend by the divisor. For Example you want to calculate **12 Ã· 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 Ã— 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**.

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.

The remainder is 2, for 9602 Ã· 3.

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)