We divide 777817 by 6
We want to figure out the number of times 777817 can be divided by 6.

Advancing to step 1:
6 goes into 7 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 6 from 7 and we're left with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 6

Moving on to step 2:
6 can be fit into 17 2 times, resulting in a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 12 from 17, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 6

Going ahead to step 3:
57 divided by 6 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 129.0
The remainder is 3 after subtracting 54 from 57.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 6

Going ahead to step 4:
When dividing 38 by 6, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1296.0
Subtract 36 from 38 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

On to step 5:
The number 6 fits into 21 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 12963.0
Subtracting 18 from 21 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 6

Moving on to step 6:
When dividing 37 by 6, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 129636.0
If we take 36 away from 37, we end up 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 goes into 10 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 129636.1
Deduct 6 from 10 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.

Step 8:
When dividing 40 by 6, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 129636.16
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.

Let's proceed to step 9:
When dividing 40 by 6, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 129636.166
Subtracting 36 from 40 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.

Our division results in 129636.166 with a remaining 0.0004.