803191 ÷ 42 
The aim is to understand the frequency of 42 in 803191.

Going ahead to step 1:
When dividing 8 by 42, we get 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 42

Advancing to step 2:
If we divide 80 by 42, we get 1 and a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 42 from 80 and we're left with 38.
Bring next digit (3) of the dividend behind the 38 and repeat the process: 383 / 42

Step 3:
383 divided by 42 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we subtract 378 from 383, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 42

Moving on to step 4:
If we divide 51 by 42, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 191.0
If we take 42 away from 51, we end up with 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 42

Let's proceed to step 5:
If we divide 99 by 42, we get 2 and a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 1912.0
Deduct 84 from 99 and we're left with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 42

Step 6:
42 can be fit into 151 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 19123.0
If we subtract 126 from 151, 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.
Use 5 as the next digit of our solution. 
Result so far: 19123.5
If we subtract 210 from 250, 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.

Step 8:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 19123.59
If we take 378 away from 400, we end up 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.

Going ahead to step 9:
42 can be fit into 220 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 19123.595
Deduct 210 from 220 and we're left 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.

Step 10:
If we divide 100 by 42, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 19123.5952
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
160 divided by 42 is 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 19123.59523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 19123.595238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 19123.595238
If we take 0 away from 40, we end up 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.

Advancing to step 14:
400 divided by 42 is 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 19123.59523809
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.

The final result is 19123.59523809 with a remainder of 2.2e-08.