824977 divided by 42 
The aim is to understand the frequency of 42 in 824977.

Let's proceed to step 1:
42 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 42

Going ahead 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
If we subtract 42 from 82, we get 40.
Grab the next digit (4) from the dividend, add it to 40, then carry on: 404 / 42

Advancing to step 3:
If we divide 404 by 42, we get 9 and a remainder of 26.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 26 after subtracting 378 from 404.
Grab the next digit (9) from the dividend, add it to 26, then carry on: 269 / 42

Let's proceed to step 4:
When dividing 269 by 42, we get 6 with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 196.0
Subtract 252 from 269 to get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 42

Step 5:
42 goes into 177 4 times with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 1964.0
Subtracting 168 from 177 leaves us with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 42

Moving on to step 6:
42 can be fit into 97 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 19642.0
If we take 84 away from 97, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
42 goes into 130 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 19642.3
If we take 126 away from 130, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
The number 42 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 19642.3
The remainder is 40 after subtracting 0 from 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 9:
If we divide 400 by 42, we get 9 and a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 19642.309
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.

Let's proceed to step 10:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 19642.3095
If we take 210 away from 220, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 19642.30952
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
The number 42 fits into 160 3 times, leaving a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 19642.309523
If we subtract 126 from 160, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
42 goes into 340 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 19642.3095238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
The number 42 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 19642.3095238
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.

In conclusion, the division gives 19642.3095238 with a balance of 4e-08.