How to convert decimal fraction to another system?

Question

Please tell me how to write a program to convert decimal fractions to another number system. For example you have 0,36 with 10 base. And you need to write it to 5 base (0,14).

Answer 1

My try
https://code.sololearn.com/cY5GA42t9em9/?ref=app

Answer 2

What, nobody knows? At least explain the solution algorithm itself, I really need.