We look at the division of 431419 by 42 
The aim is to understand the frequency of 42 in 431419.

Advancing to step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 42

Step 2:
42 can be fit into 43 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 42 from 43 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 42

Moving on to step 3:
42 can be fit into 11 0 times, resulting in a remainder of 11.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 42

Going ahead to step 4:
42 can be fit into 114 2 times, resulting in a remainder of 30.
The next digit of our result is 2. 
Result so far: 102.0
Subtract 84 from 114 to get 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 42

Going ahead to step 5:
When dividing 301 by 42, we get 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 1027.0
If we take 294 away from 301, we end up with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 42

Let's proceed to step 6:
79 divided by 42 is 1 with a remainder of 37.
Record the quotient 1 as the next digit in the result. 
Result so far: 10271.0
If we take 42 away from 79, 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 7:
42 goes into 370 8 times with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 10271.8
Subtracting 336 from 370 leaves us 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 8:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 10271.88
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 10271.88 with a remainder of 0.004.