We have four printed out A4 sheets of paper with our passwords printed on them which is kept in the filing cabinet, as well a file on the computer from where they have been printed out. A couple of years ago I attempted to to reduce the number of passwords by using the same for similar sites. It was a fail. While I thought I had a good strong password, a few sites asked for capital letters and some others asked for a symbol in the password. My good and strong passwords had neither.
I once put the password file onto a USB stick to take with us when we travelled, but I did not check that it would work on a tablet, and the file was useless as the tablet would not read it. Since then, I've always taken a paper print out of our passwords when we have travelled. Admittedly many of the passwords are never used but I have learnt to always record a password, along with the log in. Now, most of our passwords are remembered by devices but sometimes things go wrong and your device will forget the password.
While I know you can have a master password for all your passwords, I don't see it as being particularly secure, and setting it up would be very time consuming.
How do you cope with passwords? I hope it is not like Mother's address book, which is somewhat more chaotic than our printed out password sheets.