Let's divide 8308 by 6
We want to figure out the number of times 8308 can be divided by 6.

On to step 1:
6 can be fit into 8 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 6 from 8 and we're left with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 6

Going ahead to step 2:
6 goes into 23 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 18 from 23, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 6

Advancing to step 3:
6 can be fit into 50 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
The remainder is 2 after subtracting 48 from 50.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 6

Step 4:
6 can be fit into 28 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 1384.0
Subtract 24 from 28 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 5:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 1384.6
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 6:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 1384.66
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 1384.66, with a leftover of 0.004.