We divide 111759 by 13
The aim is to understand the frequency of 13 in 111759.

Advancing to step 1:
1 divided by 13 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 13

On to step 2:
11 divided by 13 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 13

Let's proceed to step 3:
13 can be fit into 111 8 times, resulting in a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 104 from 111 and we're left with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

Advancing to step 4:
77 divided by 13 is 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 85.0
The remainder is 12 after subtracting 65 from 77.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 13

Going ahead to step 5:
13 goes into 125 9 times with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 859.0
If we take 117 away from 125, we end up with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 13

Step 6:
13 can be fit into 89 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 8596.0
The remainder is 11 after subtracting 78 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8596.8
Subtracting 104 from 110 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.

Going ahead to step 8:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 8596.84
Subtract 52 from 60 to get 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 9:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 8596.846
Subtract 78 from 80 to 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.

Going ahead to step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 8596.8461
If we take 13 away from 20, we end up 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 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8596.84615
Subtracting 65 from 70 leaves us 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.

Let's proceed to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 8596.846153
Deduct 39 from 50 and we're left 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.

Moving on to step 13:
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: 8596.8461538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 14:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 8596.84615384
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.

Our division results in 8596.84615384 with a remaining 8e-09.