826823 ÷ 42 
The aim is to understand the frequency of 42 in 826823.

Going ahead to step 1:
8 divided by 42 is 0 with 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.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 42

Advancing to step 2:
The number 42 fits into 82 1 times, leaving a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 42 from 82 and we're left with 40.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 42

Step 3:
The number 42 fits into 406 9 times, leaving a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 28 after subtracting 378 from 406.
Bring next digit (8) of the dividend behind the 28 and repeat the process: 288 / 42

Let's proceed to step 4:
If we divide 288 by 42, we get 6 and a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
The remainder is 36 after subtracting 252 from 288.
Take the next digit (2) from the dividend and append it to 36, then repeat: 362 / 42

Moving on to step 5:
42 can be fit into 362 8 times, resulting in a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 1968.0
Deduct 336 from 362 and we're left with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 42

On to step 6:
If we divide 263 by 42, we get 6 and a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 19686.0
If we subtract 252 from 263, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 42, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 19686.2
Subtract 84 from 110 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 8:
When dividing 260 by 42, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 19686.26
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 9:
80 divided by 42 is 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 19686.261
If we take 42 away from 80, we end up with 38.
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 10:
If we divide 380 by 42, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 19686.2619
If we subtract 378 from 380, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
When dividing 20 by 42, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 19686.2619
The remainder is 20 after subtracting 0 from 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 12:
If we divide 200 by 42, we get 4 and a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 19686.261904
If we subtract 168 from 200, we get 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 13:
42 can be fit into 320 7 times, resulting in a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 19686.2619047
Subtracting 294 from 320 leaves us 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.

Step 14:
42 can be fit into 260 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 19686.26190476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 19686.26190476 with a remainder of 8e-09.