Henry Ernest Dudeney/Puzzles and Curious Problems/110 - An Absolute Skeleton

Puzzles and Curious Problems by Henry Ernest Dudeney: $110$

An Absolute Skeleton

Here is a good skeleton puzzle.

The only conditions are:

$(1)$ No digit appears twice in any row of figures except the dividend.

$(2)$ If $2$ be added to the last figure in the quotient it equals the last but one,

and if $2$ be added to the third figure from the end it gives the last figure but $3$ in the quotient.

That is to say, the quotient might end in, say, $9742$, or in $3186$.

        ********
    ------------
 ***)***********
      ***
       ---
       ***
       ***
       ----
       ****
       ****
       -----
         ***
         ***
         ----
         ****
         ****
         -----
          ****
          ****
          -----
           ****
           ****
           -----
            ****
            ****
            ----

We have only succeeded in finding a single solution.

prime.mover reports:

A previous owner of this copy of Puzzles and Curious Problems open before me on my study desk has pencilled in a second solution.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $110$. -- An Absolute Skeleton
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Skeleton Puzzles: $147$. An Absolute Skeleton