We divide 111578 by 13
The aim is to understand the frequency of 13 in 111578.

Let's proceed 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
If we take 0 away from 1, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

Let's proceed to step 2:
13 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 13

Step 3:
The number 13 fits into 111 8 times, leaving a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 104 from 111 and we're left with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 13

Step 4:
13 can be fit into 75 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtracting 65 from 75 leaves us with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 13

Let's proceed to step 5:
When dividing 107 by 13, we get 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 858.0
The remainder is 3 after subtracting 104 from 107.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 13

Let's proceed to step 6:
38 divided by 13 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 8582.0
If we subtract 26 from 38, we 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 7:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 8582.9
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.

Moving on to step 8:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 8582.92
Subtracting 26 from 30 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.

Advancing to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 8582.923
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 10:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8582.923
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.

Advancing to step 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 8582.92307
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 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 8582.923076
The remainder is 12 after subtracting 78 from 90.
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 13:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 8582.9230769
Subtracting 117 from 120 leaves us 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.

Moving on to step 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 8582.92307692
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.

The final outcome is 8582.92307692, with a leftover of 4e-09.