We're dividing 306037 by 6 
We're looking to find how many times 6 goes into 306037.

Let's proceed to step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Let's proceed to step 2:
If we divide 30 by 6, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 0 after subtracting 30 from 30.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 6

Going ahead to step 3:
6 divided by 6 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 51.0
Subtract 6 from 6 to get 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 6

Going ahead to step 4:
If we divide 0 by 6, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 510.0
If we take 0 away from 0, we end up with 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 6

Advancing to step 5:
6 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 5100.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 6

On to step 6:
The number 6 fits into 37 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 51006.0
Subtracting 36 from 37 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
6 can be fit into 10 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 51006.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 51006.16
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.

Moving on to step 9:
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: 51006.166
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 51006.166, with a leftover of 0.0004.