711915 ÷ 13 
We're looking to find how many times 13 goes into 711915.

Step 1:
13 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 13

Let's proceed to step 2:
The number 13 fits into 71 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 6 after subtracting 65 from 71.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

Going ahead to step 3:
The number 13 fits into 61 4 times, leaving a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we take 52 away from 61, we end up with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 13

Step 4:
99 divided by 13 is 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 547.0
The remainder is 8 after subtracting 91 from 99.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 13

Step 5:
13 can be fit into 81 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 5476.0
If we take 78 away from 81, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

Advancing to step 6:
13 goes into 35 2 times with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 54762.0
If we take 26 away from 35, 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 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 54762.6
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.

On to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 54762.69
If we subtract 117 from 120, we 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.

Going ahead to step 9:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 54762.692
Deduct 26 from 30 and we're left 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 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 54762.6923
Subtract 39 from 40 to 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.

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: 54762.6923
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.

Moving on to step 12:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 54762.692307
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.

Step 13:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 54762.6923076
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.

Step 14:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 54762.69230769
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.

The final result is 54762.69230769 with a remainder of 3e-09.