Henry Ernest Dudeney/Puzzles and Curious Problems/112 - Simple Division

by : $112$

 * Simple Division
 * There is a simple division sum.
 * Can you restore it by substituting a figure for every asterisk, without altering or removing the sevens?
 * If you start out with the assumption that all the sevens are given, and that you must not use another,
 * you will attempt an impossibility, though the proof is difficult;
 * but when you are told that though no additional sevens may be used in divisor, dividend or quotient,
 * ''any number of extra sevens may be used in the working.
 * It is comparatively easy.

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