There's not really any sure-fire way of completing a puzzle - or of explaining to someone else how to solve it. If there were, it would lose a lot of its fascination.
There are clear techniques to 'get you started', however. Take today's
Guardian Sudoku (I'm sure they won't mind me reproducing it here):
.4.|...|..3
.7.|...|..6
..2|5..|19.
-----------
3..|.45|...
1..|...|..8
...|39.|..1
-----------
.84|..9|3..
7..|...|.1.
6..|...|.2.
(using 'chessboard' nomenclature): look at the '3's in a6, d4, g3 and i9, you can work out at once that the only place for the '3' in middle-right box, is h5: all other cells conflict in either row or column.
Then again, looking at column 'i' - the only place a '2' can go is i6.
Carry on working this way, filling in the unambiguous ones, until you run out of those. Then consider a cell that can have either of two numbers, or a number that can go in one of two places in a row, column or box. 'Guess' one of the two options, fill it in in pencil or small print, then continue working until you either complete the puzzle or reach a contradiction - in which case your guess was wrong and you backtrack.
I rarely have to make more than one 'guess', per puzzle. My thesis is, if it won't come out, you're not concentrating (or the puzzle is unsolvable - which I've never seen in the
Grauniad).
HTH.