25234 ÷ 13 
The aim is to understand the frequency of 13 in 25234.

On to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 13

Let's proceed to step 2:
25 divided by 13 is 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 25 and we're left with 12.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 13

Let's proceed to step 3:
122 divided by 13 is 9 with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 19.0
The remainder is 5 after subtracting 117 from 122.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 13

Going ahead to step 4:
If we divide 53 by 13, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 194.0
The remainder is 1 after subtracting 52 from 53.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 13

Step 5:
14 divided by 13 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1941.0
The remainder is 1 after subtracting 13 from 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 1941.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 1941.07
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 1941.076
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.

Let's proceed to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 1941.0769
If we take 117 away from 120, we end up 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.

Going ahead to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 1941.07692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 1941.076923
If we take 39 away from 40, we end up 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 12:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1941.076923
The remainder is 10 after subtracting 0 from 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 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 1941.07692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 1941.07692307 with a remaining 9e-09.