Queen and King versus Rook and King - please, help me.

In the end of the game - https://www.chess.com/live/game/5319298016 … I was sure that I could easily win.

I have Queen against my opponent's one single Rook. ))

And post-game computer analysis said the same thing. 

But I made about fifty moves !  …. (  and the game ended only as the draw.

I was so angry and frustrated with myself... then I didn't play Chess two weeks after that... and I felt that I am a real fool.

Please, help me to understand... What was that I was doing wrong on the finish of the game ?

And how could I achieve the victory !?

 

 

 

 

Don't blame yourself. These endgames are very hard. You can train with an endgame database, but you will soom realise that in many won positions it take 20-30 moves (best play) to win, so there are not room for many mistakes. 

It’s deceptively hard to win a queen against rook position, and us humans don’t have a cookie cutter procedure for carrying out the win. The general strategy involves using the king and queen to slowly push the black king and rook closer to a corner. The rook must stay near the king to avoid a double attack on the king and rook. When the king and rook and pushed to a corner, usually a clever waiting move will force the rook to move far away from the king, and at that moment you need to capitalize with a few clever checks to grab the rook. Again, it’s not a trivial win at all and I recommend you practice with an engine or check it out with a table base

Yes, but I wonder that the computer said that i had big advantage in the end of the game

6 points ahead... as i remember.

Oh, thank you a lot.

Now i know at least what to do in this rare situation. )

When I was doing my 50 checks... I suspected that there should be some principal how to win in my position... but I didn't figure out what it could be... )

And I checked, checked and checked my opponent up to the moment when fifty moves limit was expired. (

 

 

Make sure you checkmate before 50 moves lol

Don't just operate with checks... that will leave your King out of the action, and you need both your King and Queen in order to win. Your goal is to force the King back to the corner. Naturally, the opponent will keep his King and Rook together, to avoid losing the Rook to a forking check.

Once you have reached the Philidor position (below) you must then lose a move to force Black into Zugzwang (ie: force him to move the Rook away from his King) after which you can pick the Rook off with a forking check:

 

and re: this...

1...Rf3+