How to Perform Long Division with Decimals

Long division with decimals follows the same principles as long division with whole numbers, with one key adjustment: Move the decimal point.

The Process

1. Examine the Divisor: If the divisor is not a whole number, move the decimal point to the right until it becomes a whole number.
2. Adjust the Dividend: Move the decimal point in the dividend to the right the same number of places you moved it in the divisor.
3. Perform Division: Proceed with the standard long division process (Divide, Multiply, Subtract, Bring Down) as if they are whole numbers.
4. Place Decimal in Quotient: Once you have used up all digits from the original dividend and need to bring down a zero, place the decimal point in the quotient directly above the decimal point in the dividend.

Example

Let's divide 13.2 by 0.4.

• The divisor (0.4) has 1 decimal place. Move it right to become 4.
• Move the decimal in the dividend (13.2) 1 place right to become 132.
• Now calculate 132 ÷ 4.
• The answer is 33.

Why Use This Tool?

This Long Division Calculator with Decimals automates the alignment of decimal points and generates the visual steps, helping students verify their work and understand the structure of the algorithm.