42543198 ÷ 113 
The aim is to understand the frequency of 113 in 42543198.

Let's proceed to step 1:
4 divided by 113 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 113

Moving on to step 2:
113 can be fit into 42 0 times, resulting in a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Take the next digit (5) from the dividend and append it to 42, then repeat: 425 / 113

Let's proceed to step 3:
425 divided by 113 is 3 with a remainder of 86.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 339 from 425, we get 86.
Fetch the next digit (4) from the dividend, attach it to 86 and continue: 864 / 113

Moving on to step 4:
If we divide 864 by 113, we get 7 and a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 37.0
The remainder is 73 after subtracting 791 from 864.
Include the next digit (3) from the dividend after 73, then repeat: 733 / 113

Advancing to step 5:
733 divided by 113 is 6 with a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 376.0
Deduct 678 from 733 and we're left with 55.
Bring next digit (1) of the dividend behind the 55 and repeat the process: 551 / 113

On to step 6:
551 divided by 113 is 4 with a remainder of 99.
Record the quotient 4 as the next digit in the result. 
Result so far: 3764.0
If we take 452 away from 551, we end up with 99.
Take the next digit (9) from the dividend and append it to 99, then repeat: 999 / 113

Advancing to step 7:
If we divide 999 by 113, we get 8 and a remainder of 95.
The number 8 becomes the next digit in our result. 
Result so far: 37648.0
Subtracting 904 from 999 leaves us with 95.
Grab the next digit (8) from the dividend, add it to 95, then carry on: 958 / 113

Moving on to step 8:
When dividing 958 by 113, we get 8 with a remainder of 54.
Use 8 as the next digit of our solution. 
Result so far: 376488.0
The remainder is 54 after subtracting 904 from 958.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 9:
113 goes into 540 4 times with a remainder of 88.
Put 4 as the next digit of the answer. 
Result so far: 376488.4
The remainder is 88 after subtracting 452 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 10:
880 divided by 113 is 7 with a remainder of 89.
Use 7 as the next digit of our solution. 
Result so far: 376488.47
Subtract 791 from 880 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Moving on to step 11:
When dividing 890 by 113, we get 7 with a remainder of 99.
The next digit of our result is 7. 
Result so far: 376488.477
Subtracting 791 from 890 leaves us with 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

After the division, we end up with 376488.477 and a remainder of 0.0099.