Let's divide 717413 by 13
We're looking to find how many times 13 goes into 717413.

Going ahead to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Going ahead to step 2:
71 divided by 13 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 6 after subtracting 65 from 71.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

On to step 3:
67 divided by 13 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtract 65 from 67 to get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 13

Going ahead to step 4:
The number 13 fits into 24 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 551.0
Deduct 13 from 24 and we're left with 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 13

Let's proceed to step 5:
The number 13 fits into 111 8 times, leaving a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 5518.0
If we subtract 104 from 111, we get 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 13

On to step 6:
If we divide 73 by 13, we get 5 and a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 55185.0
If we subtract 65 from 73, we get 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 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 55185.6
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 55185.61
If we subtract 13 from 20, we 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 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 55185.615
Subtracting 65 from 70 leaves us 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.

Going ahead to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 55185.6153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 55185.61538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 55185.615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 55185.6153846
The remainder is 2 after subtracting 78 from 80.
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 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 55185.61538461
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.

In conclusion, the division gives 55185.61538461 with a balance of 7e-09.