17108140 divided by 13 
The aim is to understand the frequency of 13 in 17108140.

Step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Step 2:
When dividing 17 by 13, we get 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 13 from 17 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 13

Step 3:
13 goes into 41 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 39 from 41 leaves us with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 13

Moving on to step 4:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 131.0
Deduct 13 from 20 and we're left with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 13

On to step 5:
When dividing 78 by 13, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 1316.0
Subtract 78 from 78 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

Advancing to step 6:
1 divided by 13 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 13160.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

Advancing to step 7:
13 can be fit into 14 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 131601.0
The remainder is 1 after subtracting 13 from 14.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 13

Moving on to step 8:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1316010.0
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 9:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 1316010.7
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.

Moving on to step 10:
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: 1316010.76
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 11:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 1316010.769
Deduct 117 from 120 and we're left with 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 12:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 1316010.7692
Subtract 26 from 30 to get 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 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 1316010.76923
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 14:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1316010.76923
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 15:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 1316010.7692307
If we take 91 away from 100, 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.

Step 16:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 1316010.76923076
Subtracting 78 from 90 leaves us with 12.
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 result is 1316010.76923076 with a remainder of 1.2e-08.