We look at the division of 776548 by 6 
Our goal is to divide 776548 by 6.

On to step 1:
The number 6 fits into 7 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 6 from 7, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 6

Going ahead to step 2:
If we divide 17 by 6, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 12 from 17 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 6

Step 3:
When dividing 56 by 6, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 129.0
Deduct 54 from 56 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Moving on to step 4:
If we divide 25 by 6, we get 4 and a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 1294.0
Subtract 24 from 25 to get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 6

Let's proceed to step 5:
The number 6 fits into 14 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 12942.0
Subtracting 12 from 14 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 6

Advancing to step 6:
28 divided by 6 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 129424.0
Subtract 24 from 28 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.

Advancing to step 7:
When dividing 40 by 6, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 129424.6
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.

Let's proceed to step 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 129424.66
If we take 36 away from 40, we end up 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 quotient of the division is 129424.66, and the remainder is 0.004.