We're dividing 711587 by 13 
The aim is to understand the frequency of 13 in 711587.

Step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 13

Moving on to step 2:
The number 13 fits into 71 5 times, leaving a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 65 away from 71, we end up with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 13

Let's proceed to step 3:
61 divided by 13 is 4 with a remainder of 9.
The next digit of our result is 4. 
Result so far: 54.0
If we take 52 away from 61, we end up with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Going ahead to step 4:
13 can be fit into 95 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 547.0
If we subtract 91 from 95, we get 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 13

Let's proceed to step 5:
13 goes into 48 3 times with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 5473.0
Subtract 39 from 48 to get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 13

Step 6:
When dividing 97 by 13, we get 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 54737.0
If we take 91 away from 97, we end up 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.

Let's proceed to step 7:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 54737.4
Subtract 52 from 60 to 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.

Step 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 54737.46
Deduct 78 from 80 and we're left with 2.
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 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 54737.461
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.

Going ahead to step 10:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 54737.4615
The remainder is 5 after subtracting 65 from 70.
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 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 54737.46153
If we take 39 away from 50, we end up 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 12:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 54737.461538
Deduct 104 from 110 and we're left 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.

Advancing to step 13:
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: 54737.4615384
Subtract 52 from 60 to 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 14:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 54737.46153846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 54737.46153846, with a leftover of 2e-09.