225125 in base 6 divided by 101 in base 6​

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Question:

225125 in base 6 divided by 101 in base 6

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225125₆/101₆ = 2225₆One way to arrive at this is to convert both given numbers to base 10, compute the quotient in base 10, then convert back to base 6.101₆ = 1×6² + 0×6¹ + 1×6⁰ = 37225125₆ = 2×6⁵ + 2×6⁴ + 5×6³ + 1×6² + 2×6¹ + 5×6⁰ = 19,277So we have225125₆/101₆ = 19,277/37 = 521Next,521 = 2×216 + 89 = 2×6³ + 8989 = 2×36 + 17 = 2×6² + 1717 = 2×12 + 5 = 2×6¹ + 5×6⁰and so521 = 2×6³ + 2×6² + 2×6¹ + 5×6⁰ = 2225₆Or you can use the long division algorithm. Division in base 6 is the same as in base 10, except numerals range from 0 to 5 instead of 0 to 9. See if you can follow this diagram (replaced with an attachment)

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