We're dividing 773963 by 6 
We want to divide 773963 by 6.

Going ahead to step 1:
The number 6 fits into 7 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
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

Going ahead to step 2:
When dividing 17 by 6, we get 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 12.0
Subtracting 12 from 17 leaves us with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 6

On to step 3:
The number 6 fits into 53 8 times, leaving a remainder of 5.
The next digit of our result is 8. 
Result so far: 128.0
The remainder is 5 after subtracting 48 from 53.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 6

Moving on to step 4:
6 can be fit into 59 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 1289.0
Subtract 54 from 59 to get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 6

On to step 5:
If we divide 56 by 6, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 12899.0
Deduct 54 from 56 and we're left with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 6

On to step 6:
When dividing 23 by 6, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 128993.0
Subtracting 18 from 23 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 6 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 128993.8
If we subtract 48 from 50, 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 8:
The number 6 fits into 20 3 times, leaving a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 128993.83
If we take 18 away from 20, we end up 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.

Moving on to step 9:
6 goes into 20 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 128993.833
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 128993.833 and a remainder of 0.0002.