We look at the division of 6309 by 30 
We want to figure out the number of times 6309 can be divided by 30.

Advancing to step 1:
6 divided by 30 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 30

Let's proceed to step 2:
30 goes into 63 2 times with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 60 from 63 leaves us with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 30

On to step 3:
When dividing 30 by 30, we get 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we subtract 30 from 30, we get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 30

On to step 4:
When dividing 9 by 30, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 210.0
Subtract 0 from 9 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 5:
If we divide 90 by 30, we get 3 and a remainder of 0.
The next digit of our result is 3. 
Result so far: 210.3
Deduct 90 from 90 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 6:
30 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 210.3
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
0 divided by 30 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 210.3
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 210.3, and the remainder is 0.0.