We look at the division of 778819 by 9 
We're looking to find how many times 9 goes into 778819.

Step 1:
The number 9 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 9

Let's proceed to step 2:
The number 9 fits into 77 8 times, leaving a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 72 from 77 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 9

Moving on to step 3:
58 divided by 9 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
If we take 54 away from 58, we end up with 4.
Grab the next digit (8) from the dividend, add it to 4, then carry on: 48 / 9

Going ahead to step 4:
The number 9 fits into 48 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 865.0
Subtract 45 from 48 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 9

Moving on to step 5:
9 goes into 31 3 times with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 8653.0
Subtract 27 from 31 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 9

Let's proceed to step 6:
9 goes into 49 5 times with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 86535.0
Deduct 45 from 49 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 7:
40 divided by 9 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 86535.4
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.

On to step 8:
When dividing 40 by 9, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 86535.44
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.

The final outcome is 86535.44, with a leftover of 0.004.