This makes it less efficient - in this case, 18/60 chance of having to redraw, versus 4/60. Taking the modulus of the largest range you can leaves less residue (what lutusp is alluding to, without realizing others are describing a simple way of getting an exact uniform distribution).
If you want to make it more efficient (in terms of entropy used), you need to save the 1-of-prime (eg bits, trits, etc) that have been successfully chosen (uniformly). For example, with 6 children and an 8 sided die (3 bits), a roll of 6 or 7 would narrow the choices to only children 0-2 or 3-5 respectively. Your subsequent rolls could then be done with a 4 sided die.
Would that solution be "multiply by the number of children and divide by ten"? Let's see:
n n * 7 / 10
---------------
0 0
1 0
2 1
3 2
4 2
5 3
6 4
7 4
8 5
9 6
Not a very desirable distribution. But then, the OP could have established this fact before posting.> ... you're calling people who are trying to point out the trade-off "morons", that's why you're getting downvoted.
No, I am being downvoted because I'm right. Being right is simply rude, but being right about something trivially proven is beyond the pale.
No; his/her solution is: If 0-9 couldn't be divided evenly among the kids present, leftover digits would result in a re-roll, exactly as I said above.
> No, I am being downvoted because I'm right
Are you? This is math we're talking about, right and wrong are very precisely defined. For the sake of discussion, can you repeat the question you claim to have the right/correct solution to, and your answer?
You've failed to acknowledge the trade-offs of using your solution versus the OP's solution (or the solution above), and you're calling people who are trying to point out the trade-off "morons", that's why you're getting downvoted.