What does “dotted about” mean?
One had one's missus back in the house for breeding and strategic respectability purposes, then other fun ones dotted about Paris for their wit, wile, tits and intelligence. How very modern.

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It means in various different locations all over Paris.

NB Charles II was not one of our most popular monarchs!

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"Scattered around", or "scattered all over". It's also implied that the number (here, of mistresses) is not small, but not huge either.