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When dividing decimals, the process can initially seem tricky. But by breaking it down into simple steps, it becomes much easier. First, write down the division problem just like you would with whole numbers. For example, let's consider the problem: $$105.5 \rightarrow$$ $$earrow$$ $$5$$ This translates to: 105.5 divided by 5.

Next, ignore the decimal point and divide the numbers as if they were whole numbers. This simplifies our work temporarily until the end. By treating 105.5 as 1055, we simplify our initial division.

After performing the whole number division in this simplified format, reinsert the decimal point to get our final result. The point goes in the quotient at the same place it was in the dividend.

So, dividing 105.5 by 5 gives us 21.1.

Long division is a method to divide large numbers step by step. Understanding this method will help you divide any numbers, including decimals. Let's use our example of dividing 1055 by 5. First, set up the division as: $$\require{enclose} \frac{1055}{5}$$
Now start dividing from the left. 5 goes into 10 exactly 2 times (since 5 x 2=10). Write 2 above the division bar:
Repeat the process for the remaining numbers. When you reach the last digit, the result will be 211. Remember, this is for 1055 treated as a whole number.

Now, looking back at our original problem 105.5, we simply place the decimal point back to get 21.1.

To ensure your division result is correct, you can use multiplication to verify your answer. This basically involves reversing the division process. Let's take our quotient from the previous example, which is 21.1.
Multiply the quotient by the divisor, which in our case is 5:
$$21.1 \times 5 = 105.5$$
If the product (the result of the multiplication) matches the original dividend (105.5), your division is correct.
This method is particularly useful to check your work for errors, ensuring accuracy in your calculations.