Division In Base Other Than 10

How do we divide in base other than 10?

For example, 6 ÷ 3 in base 4.

 

Decimal to base 4 calculation:

Divide by the base to get the digits from the remainders:

Division ....... Quotient ....... Remainder

6/4 ....... ....... 1 ........ ...... 2 ....... 0
1/4 ....... ....... 0 .............. 1 ....... 1
= (12)4
When 6 is divided by 4, the quotient is 1 and the remainder is 2.
When 1 is divided by 4, the quotient is 0 and the remainder is 1.

Division ....... Quotient .............. Remainder

3/4 .............. 0 .............. 3
3/4= (3)4

When 3 is divided by 4, the quotient is 0 and the remainder is 3.


(6)10 = (12)4
(3)10 = (3)4

so,

(6/3)10 = (2)4

 

I think base 10 is so much better. When 1 is divided by 4 the quotient is 0. How?