We look at the division of 757966 by 6 
We're looking to find how many times 6 goes into 757966.

Step 1:
If we divide 7 by 6, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 6

Step 2:
The number 6 fits into 15 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 12 from 15, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

On to step 3:
If we divide 37 by 6, we get 6 and a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
Subtracting 36 from 37 leaves us with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 6

Advancing to step 4:
19 divided by 6 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1263.0
Subtract 18 from 19 to get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 6

Moving on to step 5:
16 divided by 6 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 12632.0
The remainder is 4 after subtracting 12 from 16.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Advancing to step 6:
6 can be fit into 46 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 126327.0
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.

Moving on to step 7:
40 divided by 6 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 126327.6
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 126327.66
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 result is 126327.66 with a remainder of 0.004.