I think you misunderstand Putin... I don't think he loves Trump so much as he hates Hillary for her trying to meddle in Russian internal politics during his election.
You mean Putin, the guy who imprisons or murders his political rivals? How awful.
Dude, it's about NATO. Since WWII NATO has prevented Russia from carrying out expansionist plans. When Russia pushed back the Nazis to Berlin in WWII, they kept their troops in the Eastern European nations between Russia and Germany and set up puppet governments loyal to Russia. They would have loved to go into Western Europe but the US, Britain, Australia, Canada and the Free French wouldn't let him. Then the Western Allies of D-Day and WWII morphed into NATO, and that not only put the permanent Kibosh on Russia going into Western Europe, it was so successful that Russia's attempts to build a military machine to keep up with it broke the country economically. This made it impossible for Russia to hold onto Eastern Europe, who merrily ran for their lives then applied for admission to NATO to keep the Russian tanks out. They were accepted. So NATO now blocks Russian tanks from taking Eastern Europe back. Sort of like what Russia did to Czechoslovakia in 1968.
And Hillary is going to stand by NATO, as an American president must. And Trump is looking for ways to get rid of it. Given these facts, what do you think Putin is going to do? He's going to do anything he can to get Trump in the White House. How hard is this for you to understand?