We have all done it. That really important thing we were carrying around with us was inadvertently placed on a shelf, in a drawer or behind the chair - it doesn't matter how it got there. What matters is we can't remember where we left it. In a moment of mental slumber we set something down and cannot figure out where it went. If we're lucky we will stumble upon it during a frantic episode of hide-and-seek. Sometimes though, we don't find it right away. Sometimes we're stuck searching for it for quite a while.
I recently told someone that I was searching for something in my life. They took that to mean that I was leaving a part (or the whole) of my past behind. After a lengthy conversation I assured him that this was not the case. The interaction left me thinking about the importance of searching. (Note: Had I used the word seeking instead of searching our conversation would have been significantly different.)
There is a bit of aimless wandering that occurs when you are actively searching. Much like you'd look for your missing keys in places where you absolutely know they would not be, you have to "look everywhere" just in case. Others will question your aimless wandering, but that's mostly because they are not searching for anything.
Searching forces me to look up on the highest shelves, inside the dark closets and under the piles in the corners. These are places that have long been overlooked and my search has definitely uncovered things that I have forgotten along the way.
For me, searching has become just as important as finding what it is I'm looking for.