We look at the division of 779308 by 13 
We're looking to find how many times 13 goes into 779308.

Moving on to step 1:
13 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 13

Moving on to step 2:
77 divided by 13 is 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 65 from 77, we get 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 13

Moving on to step 3:
When dividing 129 by 13, we get 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtract 117 from 129 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Let's proceed to step 4:
The number 13 fits into 123 9 times, leaving a remainder of 6.
The next digit of our result is 9. 
Result so far: 599.0
Deduct 117 from 123 and we're left with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 13

On to step 5:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 5994.0
Subtracting 52 from 60 leaves us with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 13

Moving on to step 6:
If we divide 88 by 13, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 59946.0
Subtracting 78 from 88 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 59946.7
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 59946.76
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 59946.769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 59946.7692
If we subtract 26 from 30, 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.

On to step 11:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 59946.76923
Deduct 39 from 40 and we're left 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.

Step 12:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 59946.76923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 59946.7692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 59946.76923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 59946.76923076 with a balance of 1.2e-08.