We're dividing 937366 by 6 
Our goal is to divide 937366 by 6.

Going ahead to step 1:
6 goes into 9 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 6 from 9 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 6

Advancing to step 2:
33 divided by 6 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 15.0
Deduct 30 from 33 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Moving on to step 3:
37 divided by 6 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 156.0
Subtract 36 from 37 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 6

Let's proceed to step 4:
13 divided by 6 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 1562.0
Subtracting 12 from 13 leaves us with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 6

Advancing to step 5:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 15622.0
Subtracting 12 from 16 leaves us with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 6

Step 6:
When dividing 46 by 6, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 156227.0
Subtracting 42 from 46 leaves us 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 7:
If we divide 40 by 6, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 156227.6
Subtract 36 from 40 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 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 156227.66
Deduct 36 from 40 and we're left 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.

The final outcome is 156227.66, with a leftover of 0.004.