Okay let's be honest, long division with decimals can be very tedious. Also, beyond prealgebra you probably will rarely, if ever, need to do this without a calculator.
Having said that, long division with decimals is a skill often tested on state and national tests, so it makes sense for you to learn how to do it without a calculator. Using graph paper when practicing is really helpful for keeping track of place values and decimals.
Here are some important vocabulary terms to keep in your pocket throughout this section:
Quotient: the answer to a division problem.
 In the problem , is the quotient.
Dividend: the number being divided.
 In the problem above, is the dividend.
Divisor: the number doing the dividing.
 In the problem above, is the divisor.
The key to division with decimals is to move the decimal out of the divisor and make up for that move in the dividend. Then follow the steps for long division as usual. The decimal in the quotient will be in the same place as it is in the dividend.
Now, we know that was a lot of math mumbojumbo, but the examples below will help to make sense of this.
Look Out: you cannot reverse the order in which you divide two numbers. Make sure that you put the first number (the dividend) inside the division box!
Dividing Decimals Practice:
Divide 

 Here we don't need to fuss with the decimals too much. Divide
as usual. You'll need to add zero placeholders (in orange). Transfer the
decimal directly up from the dividend to the quotient (answer). Since
we will continue to get 3's, we can place a repeating bar over the 3. 
Divide 

 Move the decimal in 0.5 to the right one place. It now becomes 05, or just plain 5. To compensate, also move the decimal in the dividend one place to the right. It now becomes 3126.3 
 Divide as usual. You will need to add zero placeholders. Transfer
the decimal directly up from the dividend to the quotient (answer). 
Divide  
 Move the decimal in 1.25 to the right two places. It now becomes 125. To compensate, also move the decimal in the dividend two places to the right (you will need to add in zero placeholders). It now becomes 1200. 
 Divide as usual. You will need to add zero placeholders. Transfer
the decimal directly up from the dividend to the quotient (answer). 
Divide .
Hint
you don't need to move the decimal
Divide .
Hint
move each decimal one place to the right
Divide .
Hint
you will need to add zero placeholders
Divide .
Hint
you may need to use a repeater bar
Answer