Question: Substitute digits for the letters to make the following Division true
G E T
-------------
N U T | G I N G E R
| N U T
-------------
E I N E
G U A O
---------
T T O R
E O G D
-------
U A O
Note that the leftmost letter can't be zero in any word. Also, there must be a one-to-one mapping between digits and letters. e.g. if you substitute 3 for the letter U, no other letter can be 3 and all other U in the puzzle must be 3.
Answer:
I=0, G=1, E=2, T=3, A=4, R=5, O=6, U=7, N=8, D=9
At a first glance, it is obvious that G=1, E=2 and T=3. Everything else is pretty simple now.
1 2 3
-------------
8 7 3 | 1 0 8 1 2 5
| 8 7 3
-------------
2 0 8 2
1 7 4 6
---------
3 3 6 5
2 6 1 9
-------
7 4 6