Did you know that cyclically permutated 3 digit multiples of 37 are still divisible by 37?
E.g.
37 x 19 = 703. 370/37 = 10
37 x 23 = 851, 518/37 = 14
Try it!
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For the exceedingly mathematically inclined among you (although I suspect that out of the readers here it's most probably me, myself & I) it also works in other number systems.
E.g. for base 16:
0x37 x 0x19 = 0x55F. 0xF55 / 0x37 = 0x47
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