827906 ÷ 42 
The aim is to understand the frequency of 42 in 827906.

On to step 1:
42 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 42

Moving on to step 2:
42 goes into 82 1 times with a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 82 leaves us with 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 42

Moving on to step 3:
42 goes into 407 9 times with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we take 378 away from 407, we end up with 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 42

Step 4:
299 divided by 42 is 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 197.0
Subtracting 294 from 299 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 42

Moving on to step 5:
When dividing 50 by 42, we get 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1971.0
Subtract 42 from 50 to get 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 42

Advancing to step 6:
42 can be fit into 86 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 19712.0
If we take 84 away from 86, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
When dividing 20 by 42, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 19712.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The next digit of our result is 4. 
Result so far: 19712.04
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
42 can be fit into 320 7 times, resulting in a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 19712.047
Deduct 294 from 320 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
260 divided by 42 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 19712.0476
Subtract 252 from 260 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
When dividing 80 by 42, we get 1 with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 19712.04761
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
If we divide 380 by 42, we get 9 and a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 19712.047619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
When dividing 20 by 42, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 19712.047619
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
200 divided by 42 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 19712.04761904
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 19712.04761904, with a leftover of 3.2e-08.