The magic of 37

37 is a “magic” number. Don’t you trust me?

1. Pick any digit from 1 to 9
2. Form a 3 digits number (eg.: 777, 333, 888, …)
3. Sum every digit of the above number (eg.: 7+7+7, 3+3+3, 8+8+8, …)
4. Now pick the numer at step 2 and divide it by the number at step 3
5. The result is…

Can you explain why?

PS: 37 is also my age today :)