We're dividing 381368 by 6 
We want to divide 381368 by 6.

On to step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Going ahead to step 2:
6 can be fit into 38 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 36 from 38, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 6

Advancing to step 3:
6 goes into 21 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Subtracting 18 from 21 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 6

Step 4:
If we divide 33 by 6, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 635.0
Deduct 30 from 33 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 6

Let's proceed to step 5:
6 goes into 36 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 6356.0
Subtract 36 from 36 to get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 6

On to step 6:
If we divide 8 by 6, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 63561.0
Subtracting 6 from 8 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.

Let's proceed to step 7:
20 divided by 6 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 63561.3
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
6 can be fit into 20 3 times, resulting in a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 63561.33
Subtract 18 from 20 to get 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 63561.33, with a leftover of 0.002.