We look at the division of 289030 by 42 
The aim is to understand the frequency of 42 in 289030.

Let's proceed to step 1:
If we divide 2 by 42, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 42

On to step 2:
42 can be fit into 28 0 times, resulting in a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 28 to get 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 42

Advancing to step 3:
289 divided by 42 is 6 with a remainder of 37.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 252 from 289, we get 37.
Include the next digit (0) from the dividend after 37, then repeat: 370 / 42

Step 4:
370 divided by 42 is 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtracting 336 from 370 leaves us with 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 42

Moving on to step 5:
42 goes into 343 8 times with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 688.0
If we subtract 336 from 343, we get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 42

Moving on to step 6:
The number 42 fits into 70 1 times, leaving a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 6881.0
Deduct 42 from 70 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 6881.6
Subtract 252 from 280 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
42 goes into 280 6 times with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 6881.66
Subtracting 252 from 280 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 6881.66 and a remainder of 0.028.