How to Divide Decimals Using Long Division: A Step-by-Step Guide

Dividing decimals can initially seem tricky, but with long division, it becomes manageable. When you encounter a situation where the divisor cannot fit into the current digit of the dividend, you can add a zero and continue the division process. This ensures that you can keep working toward the final answer.

### Example: Dividing 2.46 by 1.2

Let’s break down this example step-by-step to illustrate how adding a zero affects the final answer.

#### Step 1: Eliminate Decimals
To make the division easier, we first eliminate the decimals by multiplying both numbers by 10. This shifts the decimal place one position to the right:
- 2.46 × 10 = 24.6
- 1.2 × 10 = 12

Now, you can divide 24.6 by 12 without worrying about decimals initially.

#### Step 2: Setup Long Division
Set up the long division:
- 12 goes into 24 exactly 2 times (2 × 12 = 24). Write 2 in the quotient.
- Subtract 24 from 24, which gives you 0. Now, bring down the next digit, which is 6.
- At this point, you have 0.6, and you need to determine how many times 12 fits into 6.

#### Step 3: Adding a Zero
Since 12 cannot fit into 6, you place a 0 in the quotient after the decimal point. This indicates that for now, 12 does not divide into 6.
- To continue, you can add a zero to 6, transforming it into 60. This step is crucial because it allows you to keep dividing.

#### Step 4: Continuing the Division
Now, determine how many times 12 fits into 60. It fits 5 times (5 × 12 = 60). Write 5 in the quotient next to the 0, making it 2.05.
- Subtract 60 from 60, resulting in 0. Since there are no more digits to bring down, you have completed the division.

### Final Answer
Therefore, 2.46 divided by 1.2 equals 2.05. This example shows how adding a zero when you reach a smaller number than your divisor allows you to continue the division process, leading to a more accurate answer.

### Real-World Applications
Understanding how to divide decimals is not just a classroom skill; it's essential in real life. For instance, when calculating prices during shopping sales or when splitting bills among friends, you often encounter decimal divisions. Mastering this skill helps you make better financial decisions.

Remember, practice makes perfect! The more you work with decimal division, the more comfortable and confident you will become.