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Charles Lutwidge Dogdson, a.k.a. Lewis Carroll, is famous for his “ Alice's Adventures in Wonderland.”

He was born on January 27, 1832. alphametic about Lewis Carroll

P.-S. Park
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  • Even after looking at the solution in the answer, I was really confused about what was going on here mathematically, so I had to do some research. Wikipedia says this is the usual notation for "long division" in "English-speaking countries": https://en.wikipedia.org/wiki/Long_division – molnarm Jan 27 '23 at 14:39

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Working bottom-up: EL minus a 2-digit is 1, so EL must be either 28, 55 or 82. We eliminate 55 because E != L, and we eliminate 82 because, if L = 2, then the second division can't be LR - 27 = (2-digit).

Now 8R - ?? = ??, so R can only be zero and the second division is complete (80 - 54 = 26). The first division is also complete since there's only one way CA0 - ??? = 8, judging by the last digit, as only 27*6=162 ends in 2.

The third division is 26o - ??? = ??. It must yield a quotient of 9. There's also a 1 given in the remainder, so this one becomes 264 - 243 = 21. Now the whole division can be completed.

iBug
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  • "fb RY zhfg or rvgure xx, xx be xx"(rot13, with numbers censored) I don't follow that, would you mind explaining? – Sam Dean Jan 27 '23 at 14:29
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    @SamDean (Cbvag urer vf, gur fhogenuraq vf n zhygvcyr bs 27.) – iBug Jan 27 '23 at 14:39
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    @SamDean Hfvat ## nf n fgnaq-va sbe gjragl-frira: Gur rdhngvba jvyy or [RY - ##*k] jurer (##*k) zhfg or gjb qvtvgf fb "k" zhfg or rvgure bar, gjb, be guerr. Gung bayl tvirf guerr bcgvbaf sbe RY. – Engineer Toast Jan 27 '23 at 18:09