Divisible by 8?

(102030405060504030201)7\large (102030405060504030201)_7

What integer 0n70 \leq n \leq 7 would need to be subtracted from the above number for it to be divisible by (8)10(8)_{10}?


Clarification:

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

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