I never really grasped the love of God until my first theology class in college. It was taught by the president of the university, Dr. Mark Rutland. His explanation of the love of God blew me away. And this is how he explained it. (With my own spin to it, of course.)
First, we need to establish that God is infinite. Not just really big or really powerful, but actually infinite.
Next, the fact that God is infinite means that every aspect of his nature is infinite. This means that since God is love, His love is also infinite.
Now we need to do some math. (Cue the disheartened groans.) Don't worry, it will be easy... What is infinity divided by two? Infinity. What is infinity divided by five? Infinity. What is infinity divided by a million? Infinity. What is infinity divided by the United States' national debt? Infinity. (Crazy, I know.)
No matter what finite number you divide infinity by, it is still infinity.
The same goes for God's love. No matter how many people you divide it by, it is still infinite. No matter how many people are in this world. No matter how many people have bigger problems than you. You still have an infinite amount of God's love and attention focused on you. None of your problems, no matter how insignificant, will be glanced over. You will not be forgotten. You will not go unnoticed. He is with you.
Now live like God loves you infinitely. And think like God loves you infinitely.
Question to think about: How should knowing this concept change the way you think and live?