We look at the division of 103322 by 6 
We're looking to find how many times 6 goes into 103322.

Advancing to step 1:
When dividing 1 by 6, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 6

Moving on to step 2:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 6 from 10 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 6

Let's proceed to step 3:
43 divided by 6 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 42 from 43, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 6

On to step 4:
6 can be fit into 13 2 times, resulting in a remainder of 1.
The next digit of our result is 2. 
Result so far: 172.0
Subtract 12 from 13 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Advancing to step 5:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 1722.0
If we subtract 12 from 12, we get 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 6

Let's proceed to step 6:
6 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 17220.0
The remainder is 2 after subtracting 0 from 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
6 goes into 20 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 17220.3
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 6, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 17220.33
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 17220.33, with a leftover of 0.002.