13642416 divided by 113 
The aim is to understand the frequency of 113 in 13642416.

Advancing to step 1:
1 divided by 113 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 113

Advancing to step 2:
113 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 113

Advancing to step 3:
If we divide 136 by 113, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 23 after subtracting 113 from 136.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 113

On to step 4:
113 goes into 234 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 8 after subtracting 226 from 234.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 113

Moving on to step 5:
82 divided by 113 is 0 with a remainder of 82.
Use 0 as the next digit of our solution. 
Result so far: 120.0
Subtract 0 from 82 to get 82.
Bring next digit (4) of the dividend behind the 82 and repeat the process: 824 / 113

Going ahead to step 6:
824 divided by 113 is 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 1207.0
Subtracting 791 from 824 leaves us with 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 113

Advancing to step 7:
331 divided by 113 is 2 with a remainder of 105.
Record the quotient 2 as the next digit in the result. 
Result so far: 12072.0
Deduct 226 from 331 and we're left with 105.
Append the next digit (6) from the dividend to 105 and continue with: 1056 / 113

Step 8:
If we divide 1056 by 113, we get 9 and a remainder of 39.
The next digit of our result is 9. 
Result so far: 120729.0
Subtracting 1017 from 1056 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 9:
If we divide 390 by 113, we get 3 and a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 120729.3
If we subtract 339 from 390, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 10:
113 goes into 510 4 times with a remainder of 58.
Put 4 as the next digit of the answer. 
Result so far: 120729.34
If we take 452 away from 510, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 11:
The number 113 fits into 580 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 120729.345
Deduct 565 from 580 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
When dividing 150 by 113, we get 1 with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 120729.3451
If we take 113 away from 150, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 13:
The number 113 fits into 370 3 times, leaving a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 120729.34513
Subtract 339 from 370 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 14:
113 goes into 310 2 times with a remainder of 84.
The next digit of our result is 2. 
Result so far: 120729.345132
If we subtract 226 from 310, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 15:
When dividing 840 by 113, we get 7 with a remainder of 49.
Write down 7 as next digit of the result. 
Result so far: 120729.3451327
If we take 791 away from 840, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 16:
113 can be fit into 490 4 times, resulting in a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 120729.34513274
If we take 452 away from 490, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 120729.34513274 with a remaining 3.8e-08.