# How to calculate 3 divided by 12 using long division?

3 ÷ 12
=
0.25

Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 3 (the dividend) by 12 (the divisor).

There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:

• 3 divided by 12 in decimal = 0.25
• 3 divided by 12 in fraction = 3/12
• 3 divided by 12 in percentage = 25%

## What is the Quotient and Remainder of 3 divided by 12?

The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number.

The quotient of 3 divided by 12 is 0, and the remainder is 3. Thus,

### 3 ÷ 12 = 0 R 3

When you divide Three by Twelve, the quotient is Zero, and the remainder is Three.

## Verdict

The division of 3 by 12 results in a quotient of 0 and a remainder of 3, meaning 12 goes into 3 Zero time with 3 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.

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### How do we differentiate between divisor and dividend?

A dividend is a number we divide, while a divisor is a number by which we divide. Divisor comes on second, followed by the dividend that we write first.

For instance, if you have 12 candies and want to distribute them among 3 children, the equation will be 12 ÷ 3. You will put 12 first because this is the number being divided. So here, 12 is a dividend. On the other hand, 3 is written after 12, and it is the number with which we are dividing 12. Hence, 3 is a divisor.

### Which formula is used to find a divisor?

There are two formulas used to find a divisor.

The first one is: Divisor = Dividend ÷ Quotient. This formula is used to find a divisor when the remainder is 0.

Second is: Divisor = (Dividend – Remainder) /Quotient. This formula is used when the remainder is not 0.

### Is there a possibility of a number having the same divisor?

Yes, there is. Every number can be divided by itself, leaving 1 as the quotient. So, it would not be wrong to say that all the numbers can have the same divisors.

Let’s take the example of 5. If we divide 5 by 5 (5 ÷ 5), then 5 will be the divisor of 5. And ultimately, 1 will be the quotient.

### What is the difference between a divisor and a factor?

A divisor is a number with which we can divide any number. However, a factor is different from a divisor. It is the number that can be divided with another number leaving no remainder. All factors are divisors, but not all divisors are factors.

### Is it possible to do division by repeated subtraction?

Fortunately yes. You can do division by repeated subtraction. In repeated subtraction, we continuously subtract a number from a bigger number. It continues until we get the 0 or any other number less than the actual number as a remainder.

However, it can be a lengthy process, so we can use division as a shortcut.

### Can I check the remainder and the quotient in a division problem?

Yes, you can quickly check the remainder and quotient in a division problem by using this relationship:

Dividend = Divisor x Quotient + Remainder