113755 divided by 13 
The aim is to understand the frequency of 13 in 113755.

Let's proceed to step 1:
If we divide 1 by 13, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 13

Step 2:
13 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

Moving on to step 3:
113 divided by 13 is 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 104 from 113 leaves us with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

Advancing to step 4:
The number 13 fits into 97 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 87.0
Deduct 91 from 97 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 13

Moving on to step 5:
65 divided by 13 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 875.0
If we take 65 away from 65, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 13

Let's proceed to step 6:
13 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 8750.0
Subtracting 0 from 5 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.

On to step 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 8750.3
If we take 39 away from 50, we end up 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 8:
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: 8750.38
Deduct 104 from 110 and we're left 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.

Let's proceed to step 9:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 8750.384
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.

Let's proceed to step 10:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 8750.3846
If we subtract 78 from 80, we 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.

Step 11:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 8750.38461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8750.384615
If we take 65 away from 70, we end up 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.

Going ahead to step 13:
50 divided by 13 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 8750.3846153
The remainder is 11 after subtracting 39 from 50.
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 14:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 8750.38461538
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.

The quotient of the division is 8750.38461538, and the remainder is 6e-09.