We're dividing 31818523 by 113 
The aim is to understand the frequency of 113 in 31818523.

Let's proceed to step 1:
When dividing 3 by 113, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 113

Going ahead to step 2:
31 divided by 113 is 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Include the next digit (8) from the dividend after 31, then repeat: 318 / 113

Advancing to step 3:
113 can be fit into 318 2 times, resulting in a remainder of 92.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 226 from 318, we get 92.
Fetch the next digit (1) from the dividend, attach it to 92 and continue: 921 / 113

On to step 4:
921 divided by 113 is 8 with a remainder of 17.
The next digit of our result is 8. 
Result so far: 28.0
The remainder is 17 after subtracting 904 from 921.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 113

Step 5:
113 goes into 178 1 times with a remainder of 65.
The number 1 becomes the next digit in our result. 
Result so far: 281.0
If we take 113 away from 178, we end up with 65.
Bring next digit (5) of the dividend behind the 65 and repeat the process: 655 / 113

On to step 6:
113 can be fit into 655 5 times, resulting in a remainder of 90.
The next digit of our result is 5. 
Result so far: 2815.0
Deduct 565 from 655 and we're left with 90.
Bring next digit (2) of the dividend behind the 90 and repeat the process: 902 / 113

On to step 7:
113 can be fit into 902 7 times, resulting in a remainder of 111.
Record the quotient 7 as the next digit in the result. 
Result so far: 28157.0
Deduct 791 from 902 and we're left with 111.
Bring next digit (3) of the dividend behind the 111 and repeat the process: 1113 / 113

Moving on to step 8:
1113 divided by 113 is 9 with a remainder of 96.
Record the quotient 9 as the next digit in the result. 
Result so far: 281579.0
If we subtract 1017 from 1113, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 9:
When dividing 960 by 113, we get 8 with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 281579.8
Subtract 904 from 960 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
113 goes into 560 4 times with a remainder of 108.
Record the quotient 4 as the next digit in the result. 
Result so far: 281579.84
If we take 452 away from 560, we end up with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Let's proceed to step 11:
The number 113 fits into 1080 9 times, leaving a remainder of 63.
Write down 9 as next digit of the result. 
Result so far: 281579.849
Subtracting 1017 from 1080 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 12:
The number 113 fits into 630 5 times, leaving a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 281579.8495
The remainder is 65 after subtracting 565 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 13:
113 can be fit into 650 5 times, resulting in a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 281579.84955
The remainder is 85 after subtracting 565 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Our division results in 281579.84955 with a remaining 8.5e-05.