145760 ÷ 13 
The aim is to understand the frequency of 13 in 145760.

Step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
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

Let's proceed to step 2:
When dividing 14 by 13, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 13 from 14 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 13

On to step 3:
15 divided by 13 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 13 from 15 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 13

On to step 4:
13 goes into 27 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 112.0
Subtracting 26 from 27 leaves us with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 13

Let's proceed to step 5:
If we divide 16 by 13, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1121.0
Subtract 13 from 16 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 13

Let's proceed to step 6:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 11212.0
If we take 26 away from 30, we end up 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.

Going ahead to step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 11212.3
Subtracting 39 from 40 leaves us 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.

Advancing to step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11212.3
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.

Step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 11212.307
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.

On to step 10:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 11212.3076
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.

Advancing to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 11212.30769
The remainder is 3 after subtracting 117 from 120.
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:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 11212.307692
If we subtract 26 from 30, we 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.

Advancing to step 13:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 11212.3076923
Subtracting 39 from 40 leaves us 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:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11212.3076923
Subtracting 0 from 10 leaves us 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.

In conclusion, the division gives 11212.3076923 with a balance of 1e-08.