770357 ÷ 6 
Our goal is to divide 770357 by 6.

Going ahead to step 1:
6 goes into 7 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 6 away from 7, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 6

Moving on to step 2:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 12 from 17 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 6

Let's proceed to step 3:
6 goes into 50 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
The remainder is 2 after subtracting 48 from 50.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 6

Moving on to step 4:
6 goes into 23 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 1283.0
Deduct 18 from 23 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 6

Advancing to step 5:
6 can be fit into 55 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12839.0
Subtract 54 from 55 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 6

Advancing to step 6:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 128392.0
If we subtract 12 from 17, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
If we divide 50 by 6, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 128392.8
Deduct 48 from 50 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.

On to step 8:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 128392.83
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.

Going ahead to step 9:
20 divided by 6 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 128392.833
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.

In conclusion, the division gives 128392.833 with a balance of 0.0002.