Eight-sided dice from six-sided dice

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How do I simulate 8-faced dice with only 6-faced dice?

I have been given the hint that $6^3$ is divisible by 8.

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Roll the die three times subtracting 1 from each result. Arrange the outcomes as the digits of the base-6 figure $d_0d_1d_2$. Converting this number to decimal you'll have a number between 0 and 215. Assign 1 as the outcome of your 8-faced die when the number is between 0 and 26, 2 when the number is between 27 and 53 and so on.

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Using the hint: Think about the number of ways you can roll three $6$-sided dice, and how you might be able to partition them into $8$ different groups of possibilities, each with the same size.

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throw the dice, multiply the results together, divide by 27, round the result up to a whole number