We're dividing 778936 by 13 
We're looking to find how many times 13 goes into 778936.

Let's proceed to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our 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

Going ahead to step 2:
13 can be fit into 77 5 times, resulting in a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 65 from 77, we get 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 13

Moving on to step 3:
13 can be fit into 128 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we take 117 away from 128, we end up with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 13

On to step 4:
The number 13 fits into 119 9 times, leaving a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 599.0
The remainder is 2 after subtracting 117 from 119.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

Going ahead to step 5:
If we divide 23 by 13, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 5991.0
Subtract 13 from 23 to get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Moving on to step 6:
13 goes into 106 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 59918.0
The remainder is 2 after subtracting 104 from 106.
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 7:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 59918.1
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 59918.15
If we take 65 away from 70, we end up 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.

Advancing to step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 59918.153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 59918.1538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 59918.15384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 59918.153846
If we subtract 78 from 80, 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 13:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 59918.1538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 59918.15384615
If we take 65 away from 70, we end up 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.

The final result is 59918.15384615 with a remainder of 5e-09.