359669 ÷ 42 
The aim is to understand the frequency of 42 in 359669.

Going ahead to step 1:
The number 42 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 42

Moving on to step 2:
If we divide 35 by 42, we get 0 and a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (9) from the dividend to 35 and continue with: 359 / 42

Advancing to step 3:
When dividing 359 by 42, we get 8 with a remainder of 23.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 336 away from 359, we end up with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 42

Going ahead to step 4:
236 divided by 42 is 5 with a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
Subtracting 210 from 236 leaves us with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 42

Let's proceed to step 5:
42 can be fit into 266 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 856.0
If we take 252 away from 266, we end up with 14.
Append the next digit (9) from the dividend to 14 and continue with: 149 / 42

Step 6:
42 can be fit into 149 3 times, resulting in a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 8563.0
Subtract 126 from 149 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.

Advancing to step 7:
The number 42 fits into 230 5 times, leaving a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 8563.5
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.

On to step 8:
If we divide 200 by 42, we get 4 and a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 8563.54
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.

Let's proceed to step 9:
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: 8563.547
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.

Going ahead to step 10:
42 can be fit into 260 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 8563.5476
The remainder is 8 after subtracting 252 from 260.
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:
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: 8563.54761
Subtracting 42 from 80 leaves us 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 12:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 8563.547619
Subtracting 378 from 380 leaves us 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.

Moving on to step 13:
20 divided by 42 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8563.547619
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 14:
42 goes into 200 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 8563.54761904
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.

The final result is 8563.54761904 with a remainder of 3.2e-08.