# Sunday Times Teaser 2937 – Long Division

*by Graham Smithers*

#### Published January 6 2019 (link)

I wrote down a 2-digit number and a 5-digit number and then carried out a long division.

I then erased all of the digits in the calculation, other than the 1’s, and so finished up with the image above.

If I told you how many different digits I had erased, then you should be able to work out my two original numbers.

What were my two original numbers?

3 Comments
Leave one →

This uses my partition_unique function that is described here

I realised Brian’s code could be adapted to give a Python dictionary solution, based on the answer having a unique number of digits

Here’s my solution using the [[ SubstitutedDivision() ]] and [[ filter_unique() ]] functions from the

enigma.pylibrary. [ http://www.magwag.plus.com/jim/enigma.html ][ https://repl.it/@jim_r/teaser2937 ]

Note that there are no further solutions to the more general problem where the erased digits may be 1.