We're dividing 543103 by 42 
The aim is to understand the frequency of 42 in 543103.

Let's proceed to step 1:
42 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 42

On to step 2:
42 goes into 54 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 42 away from 54, we end up with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 42

Advancing to step 3:
When dividing 123 by 42, we get 2 with a remainder of 39.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 39 after subtracting 84 from 123.
Include the next digit (1) from the dividend after 39, then repeat: 391 / 42

Moving on to step 4:
42 goes into 391 9 times with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 129.0
Deduct 378 from 391 and we're left with 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 42

Advancing to step 5:
When dividing 130 by 42, we get 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 1293.0
Deduct 126 from 130 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 42

Advancing to step 6:
43 divided by 42 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 12931.0
Deduct 42 from 43 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
42 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 12931.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
100 divided by 42 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 12931.02
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
160 divided by 42 is 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 12931.023
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
When dividing 340 by 42, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 12931.0238
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
When dividing 40 by 42, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 12931.0238
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 12:
42 goes into 400 9 times with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 12931.023809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 13:
If we divide 220 by 42, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 12931.0238095
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
The number 42 fits into 100 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 12931.02380952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 12931.02380952 with a remaining 1.6e-08.