Henry Ernest Dudeney/Modern Puzzles/70 - The Solitary Seven

by : $70$

 * The Solitary Seven

*7***   - ***)********     ****       ***       ***       ---       ****        ***         ****         ****
 * Here is a little puzzle, sent me by the Rev. E. F. O.


 * It is the first example I have seen of one of these missing-figure puzzles in which only one figure is given,
 * and there appears to be only one possible solution.
 * And, curiously enough, it is not difficult to construct this simple division sum.


 * For example, as the divisor when multiplied by $7$ produces only $3$ figures we know that the first figure in the divisor must be $1$.
 * We can then prove that the first figure in the dividend must be $1$,
 * that, in consequence of bringing down together the last $2$ figures of the dividend,
 * the last but one figure in the quotient must be $0$,
 * that the first and last figures in the quotient must be greater than $7$,
 * because they each produce $4$ figures in the sum,
 * and so on.