Divisible by 8?

$\large (102030405060504030201)_7$

What integer $$0 \leq n \leq 7$$ would need to be subtracted from the above number for it to be divisible by $$(8)_{10}$$?

 Clarification:

• No calculators please!
• The subscript 7 indicates that we are working in base 7.

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