Let's divide 419521 by 42
The aim is to understand the frequency of 42 in 419521.

Let's proceed to step 1:
4 divided by 42 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 42

Step 2:
If we divide 41 by 42, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 42

Let's proceed to step 3:
When dividing 419 by 42, we get 9 with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 378 from 419, we get 41.
Grab the next digit (5) from the dividend, add it to 41, then carry on: 415 / 42

Let's proceed to step 4:
42 can be fit into 415 9 times, resulting in a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 99.0
The remainder is 37 after subtracting 378 from 415.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 42

On to step 5:
When dividing 372 by 42, we get 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 998.0
Deduct 336 from 372 and we're left with 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 42

Moving on to step 6:
361 divided by 42 is 8 with a remainder of 25.
The next digit of our result is 8. 
Result so far: 9988.0
If we subtract 336 from 361, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
When dividing 250 by 42, we get 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 9988.5
Deduct 210 from 250 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 9988.59
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
If we divide 220 by 42, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 9988.595
If we subtract 210 from 220, we 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.

On to step 10:
42 goes into 100 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 9988.5952
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.

Step 11:
When dividing 160 by 42, we get 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 9988.59523
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.

Let's proceed to step 12:
340 divided by 42 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 9988.595238
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.

On to step 13:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 9988.595238
If we subtract 0 from 40, we 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.

Let's proceed to step 14:
When dividing 400 by 42, we get 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 9988.59523809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 9988.59523809 with a balance of 2.2e-08.