We're dividing 205697 by 42 
The aim is to understand the frequency of 42 in 205697.

Going ahead to step 1:
If we divide 2 by 42, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 42

Advancing to step 2:
42 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 42

Step 3:
When dividing 205 by 42, we get 4 with a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 168 away from 205, we end up with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 42

Step 4:
376 divided by 42 is 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
If we subtract 336 from 376, we get 40.
Grab the next digit (9) from the dividend, add it to 40, then carry on: 409 / 42

On to step 5:
If we divide 409 by 42, we get 9 and a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 489.0
Deduct 378 from 409 and we're left with 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 42

Going ahead to step 6:
If we divide 317 by 42, we get 7 and a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 4897.0
Subtract 294 from 317 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
If we divide 230 by 42, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 4897.5
If we take 210 away from 230, we end up 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.

Advancing to step 8:
42 can be fit into 200 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 4897.54
Subtract 168 from 200 to 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.

Going ahead to step 9:
When dividing 320 by 42, we get 7 with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 4897.547
If we take 294 away from 320, we end up 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:
The number 42 fits into 260 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 4897.5476
Deduct 252 from 260 and we're left 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.

On to step 11:
42 goes into 80 1 times with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 4897.54761
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
380 divided by 42 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 4897.547619
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.

Let's proceed to step 13:
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: 4897.547619
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.

Step 14:
42 can be fit into 200 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 4897.54761904
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.

The quotient of the division is 4897.54761904, and the remainder is 3.2e-08.