We look at the division of 218561 by 42 
The aim is to understand the frequency of 42 in 218561.

Step 1:
When dividing 2 by 42, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 42

Advancing to step 2:
42 can be fit into 21 0 times, resulting in a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 42

Step 3:
218 divided by 42 is 5 with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 210 away from 218, we end up with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 42

Advancing to step 4:
If we divide 85 by 42, we get 2 and a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
The remainder is 1 after subtracting 84 from 85.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 42

Step 5:
42 goes into 16 0 times with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 520.0
Deduct 0 from 16 and we're left with 16.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 42

Let's proceed to step 6:
The number 42 fits into 161 3 times, leaving a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 5203.0
Deduct 126 from 161 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 7:
350 divided by 42 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 5203.8
Subtracting 336 from 350 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
If we divide 140 by 42, we get 3 and a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 5203.83
Deduct 126 from 140 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
If we divide 140 by 42, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 5203.833
The remainder is 14 after subtracting 126 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 5203.833 with a balance of 0.0014.