We're dividing 779091 by 13 
We're looking to find how many times 13 goes into 779091.

Advancing to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Moving on to step 2:
The number 13 fits into 77 5 times, leaving a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 65 away from 77, we end up with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 13

Let's proceed to step 3:
129 divided by 13 is 9 with a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Subtracting 117 from 129 leaves us with 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 13

Advancing to step 4:
When dividing 120 by 13, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 599.0
If we take 117 away from 120, we end up with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 13

Advancing to step 5:
If we divide 39 by 13, we get 3 and a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 5993.0
Subtracting 39 from 39 leaves us with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

Moving on to step 6:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 59930.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 59930.0
If we take 0 away from 10, we end up 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.

Going ahead to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 59930.07
If we take 91 away from 100, we end up 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.

Going ahead to step 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 59930.076
Subtracting 78 from 90 leaves us 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.

Moving on to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 59930.0769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 59930.07692
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.

Advancing to step 12:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 59930.076923
If we subtract 39 from 40, we get 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 13:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 59930.076923
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.

Moving on to step 14:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 59930.07692307
If we take 91 away from 100, we end up 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.

The final outcome is 59930.07692307, with a leftover of 9e-09.