I know how to convert different numeral systems to other numeral systems, but I would like to understand how this methods are working.
As an example: Convert the decimalnumber 163 to binary:
163:2= 81 R1
81:2= 40 R1
40:2= 20 R0
20:2= 10 R0
10:2= 5 R0
5:2= 2 R1
2:2= 1 R0
1:2= 0 R1
Result: 10100011
Why does the division with remainder results in the binary numeral system?