We divide 15435 by 13
The aim is to understand the frequency of 13 in 15435.

Going ahead to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

On to step 2:
If we divide 15 by 13, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 13 from 15 to get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 13

Step 3:
13 can be fit into 24 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 13 from 24 to get 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 13

Let's proceed to step 4:
If we divide 113 by 13, we get 8 and a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
Subtracting 104 from 113 leaves us with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 13

Let's proceed to step 5:
95 divided by 13 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 1187.0
Subtracting 91 from 95 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.

On to step 6:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 1187.3
If we subtract 39 from 40, we 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 7:
13 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1187.3
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 8:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 1187.307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 1187.3076
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.

Let's proceed to step 10:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 1187.30769
Subtract 117 from 120 to 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.

Let's proceed to step 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 1187.307692
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 12:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 1187.3076923
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.

On to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1187.3076923
Subtract 0 from 10 to 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.

After the division, we end up with 1187.3076923 and a remainder of 1e-08.