Solution to:
Elegant Equation
Make a long division:
4/4.....\......
Calculate the first digit of the result:
4/4.....\1.....
4

0
Now we also know that the next digit of the dividend is a 1:
4/41....\1.....
4

0
Then we can calculate the next digit of the result:
4/41....\10....
4

01
0

1
Therefore, the next digit of the dividend is also a 0:
4/410...\10....
4

01
0

1
This process of calculating the next digit of the result and adding it to the dividend must be repeated until the remainder is 0 and the last digit of the result is a 4:
4/410256\102564
4

01
0

10
8

22
20

25
24

16
16

0
Conclusion: the number we were looking for is 10256.
back to the puzzle
