When I leave home, I always remember my puppy that got run over in front of the house.
I was so panicked because I couldn't recall my 4 digit PIN code.
The best way to make somebody remember you is to borrow money from them.
You know that 思う means to think (so 思い is a thought). You also know that 出す means to remove. So, when you remove a thought, you are remembering something. This is a verb, so the verb form of remembering something is to remember.
The reading for this word is the kun'yomi readings. You should know the words 思う and 出す and their readings, so you should be able to read this word if you know those words.