We're dividing 717870 by 13 
We're looking to find how many times 13 goes into 717870.

Step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 13

On 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.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 13

Moving on to step 3:
13 can be fit into 67 5 times, resulting in a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtract 65 from 67 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 13

Advancing to step 4:
28 divided by 13 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 552.0
If we subtract 26 from 28, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 13

Going ahead to step 5:
27 divided by 13 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 5522.0
If we subtract 26 from 27, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 13

On to step 6:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 55220.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 55220.7
Deduct 91 from 100 and we're left 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.

Advancing to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 55220.76
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 55220.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
30 divided by 13 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 55220.7692
Subtracting 26 from 30 leaves us 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.

Going ahead to step 11:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 55220.76923
Subtracting 39 from 40 leaves us 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.

On to step 12:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 55220.76923
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.

Step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 55220.7692307
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.

Going ahead to step 14:
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: 55220.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 55220.76923076, with a leftover of 1.2e-08.