What is the simplest method to win Queen vs Knight endgame? What method requires the least amount of memorisation (doesn't have to be shortest path to victory) for the queen vs knight ending?

I have looked at tablebases but the moves are somewhat bizarre and it would be nice to have some simple logic to follow (even if it takes a few more moves to checkmate).

This is assuming the opponent is expert and will not make simple mistakes.
I have looked at tablebases but the moves are somewhat bizarre


That's the problem with tablebases; they're efficient but they can't 'play' human chess. This particular endgame is one-sided enough that it's almost never required to play the best move.

Just drive the opponent's king to the edge of the board, as you would do with king+queen vs. king; just be careful that you don't end up in a knight fork. If the knight gets too far away from its king, you can probably fork it yourself after a few checks. Once on the edge of the board, the reduced mobility of the knight and mating threats will eventually lead to defeat.

Here is an example (from Shredder Chess):



The 'human' move here is Qg6+ (or Qa6+) followed by Kd5; it doesn't matter that Qe2, Qe3 and Qe4 are one move faster.