The disassembled lens in my picture has a long history.
I bought one mail order, only to have it arrive being a 'C' for Contax mount. Strangely, it had A LOT of play in the focus mount. If I used the thumb-wheel to tighten it up in one direction, it seemed happy on Contax/Kiev, if I turned the thumbwheel the other way until it was snug, it seemed happier on Nikon-S. Weird and unwieldy, to say the least.
I ordered another one and made sure it wasn't a 'C'. It arrived and is the one pictured disassembled. It seemed to work marvelously. But when I took it on my honeymoon to Turkey, some of the photos seemed to have a lot of flare for a lens that is otherwise crisp and flare-free. I took it apart and reassembled it several times, and even swapped the module with the Contax-mount version (which, I suppose, is where that cardboard shim came from). I even tried swapping the lens module and separate lens elements with an SLR version.
I couldn't lick the flare problem, so I ordered a THIRD 13.5cm lens. (They're the cheapest Nikkor, after all, and were less than $100 in those days). The one in the background arrived and has always worked like a champ. Then I noticed that it had some black felt glued into the inch-long tube between the rear lens element and the rear of the lens mount. The flare-prone lens didn't have this felt and instead had shiny black metal that reflected stray light, causing flare. Proably its felt had come unglued and fallen off. I cut up an old (clean) black sock and glued some of the fabric into the tube, and voila, no more flare, two good 13.5cm lenses.