Sudoku - This Is What I Do (directed at PU2)

Ok, PU2, I know you don't like sudoku. You do crosswords (which I can't do).
But I think you will enjoy sudoku once you know how to solve it.

You already know the basic idea, that all the squares need the numbers 1-9 without repetition.
Each line must also have the numbers 1-9 without repeating.

The following methods are what I use to solve sudoku puzzles.
These are not the be all and end all, and you can probably find better methods online, but this is me telling you a little bit of how I think.

1: Look for obvious number placements. First I go through each number individually and look in each line and box if there is only one place that number can go. This is particularly useful for easier sudoku puzzles when there are more numbers filled in and when there are many of one number already filled in.

3 can only go in the top row without clashing.

2: Try to fill up each line. Some lines (both horizontal and vertical) will have more numbers already filled in than others. Go along the lines and see if there are any spots that certain numbers have to go.

The only number left to be added to this row is 3.

3: Try to fill up each 3x3 box. This is like the lines, but gives you a different frame of reference. 

The only number left to go in the highlighted box is 3.

4: Cycle through steps 1-3 a few times, filling in as much as you can.

5: Write all possible numbers in superscript in each space. As you fill this in, you will see places that numbers have to go that you may not have deduced before. Cross numbers out as they are ruled out as possible solutions.

Filling in the possibilities shows that 7 can only go in one spot.

And that should lead you to a solved puzzle!

Good luck PU2!