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Long division is a method of dividing larger numbers that might not have simple, straightforward answers. It breaks down the process into a series of easier steps.
To illustrate this, let's take the example of dividing 4 by 5. Set it up with 4 (the dividend) inside the division bracket and 5 (the divisor) outside.
Since 5 doesn’t go into 4 evenly, we place a decimal point after the 4 and add a zero, making it 4.0.
Then, you consider how many times 5 can go into 40, which in this case is 8. You place 8 after the decimal, getting 0.8.

Converting fractions to decimals involves dividing the numerator (top number) by the denominator (bottom number). This process is essentially what you've learned as division, but with an emphasis on obtaining a decimal result.
Take the fraction \(\frac{4}{5}\). This means you need to divide 4 by 5. Since 4 divided by 5 doesn't result in a whole number, you'll get a decimal.
By performing long division on 4 divided by 5, you get 0.8. Therefore, \(\frac{4}{5}\) as a decimal is 0.8.
Remember, it's the practice of dividing until you reach a point where the quotient may not have whole numbers.

Division is one of the four basic arithmetic operations. It essentially distributes a number into equal parts. If you know how to divide, converting fractions into decimals becomes much easier.
The key to mastering division is practice and understanding how to handle remainders and decimal points.
For example, the fraction \(\frac{4}{5}\) requires dividing 4 by 5. If we set it up in a long division format, it'll help break down the problem into simpler steps. You will notice whether you need a decimal.
Always make sure you understand the role of the divisor (the number you're dividing by) and the dividend (the number being divided). This clarity helps you correctly place decimal points and complete the conversion accurately.