131735 divided by 13 
The aim is to understand the frequency of 13 in 131735.

On to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 13

Let's proceed to step 2:
13 can be fit into 13 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 13 away from 13, we end up with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

Step 3:
If we divide 1 by 13, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

On to step 4:
17 divided by 13 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Subtract 13 from 17 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 13

Going ahead to step 5:
If we divide 43 by 13, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 1013.0
If we subtract 39 from 43, we get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 13

Going ahead to step 6:
When dividing 45 by 13, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 10133.0
Subtracting 39 from 45 leaves us 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.

Step 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 10133.4
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 10133.46
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 10133.461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 10133.4615
If we take 65 away from 70, we end up 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 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 10133.46153
Subtracting 39 from 50 leaves us 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.

Step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 10133.461538
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.

Let's proceed to step 13:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 10133.4615384
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.

Going ahead to step 14:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 10133.46153846
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.

After the division, we end up with 10133.46153846 and a remainder of 2e-09.