We divide 781556 by 13
We want to figure out the number of times 781556 can be divided by 13.

Going ahead to step 1:
7 divided by 13 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 13

Going ahead to step 2:
78 divided by 13 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 6.0
If we take 78 away from 78, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 13

Moving on to step 3:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Going ahead to step 4:
If we divide 15 by 13, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 601.0
Deduct 13 from 15 and we're left with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 13

Moving on to step 5:
The number 13 fits into 25 1 times, leaving a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 6011.0
If we subtract 13 from 25, we get 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 13

Let's proceed to step 6:
126 divided by 13 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 60119.0
The remainder is 9 after subtracting 117 from 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 60119.6
If we subtract 78 from 90, we 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 8:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 60119.69
Subtract 117 from 120 to 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.

On to step 9:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 60119.692
If we take 26 away from 30, 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.

Let's proceed to step 10:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 60119.6923
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 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 60119.6923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 60119.692307
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.

Going ahead to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 60119.6923076
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 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 60119.69230769
Subtract 117 from 120 to 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.

After the division, we end up with 60119.69230769 and a remainder of 3e-09.