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Далее is used in the phrase и так далее - and so on. (etc.)
It means 'Next', like on a web page, you would have Назад (back), and Далее (forward).

Дальше means further (spatially, e.g. further...

больше/более, меншье/менее, раньше/ранее, дальше/далее

больше and меньше mean more and less and are used with NOUNS (they refer to more quantity) e.g. more cars, more money, more people

более...