415125 ÷ 34 
The aim is to understand the frequency of 34 in 415125.

Going ahead to step 1:
4 divided by 34 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 34

Moving on to step 2:
34 can be fit into 41 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 7 after subtracting 34 from 41.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 34

Advancing to step 3:
If we divide 75 by 34, we get 2 and a remainder of 7.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 68 from 75 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 34

On to step 4:
34 can be fit into 71 2 times, resulting in a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 122.0
The remainder is 3 after subtracting 68 from 71.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 34

Moving on to step 5:
When dividing 32 by 34, we get 0 with a remainder of 32.
The number 0 becomes the next digit in our result. 
Result so far: 1220.0
The remainder is 32 after subtracting 0 from 32.
Bring next digit (5) of the dividend behind the 32 and repeat the process: 325 / 34

Step 6:
The number 34 fits into 325 9 times, leaving a remainder of 19.
The next digit of our result is 9. 
Result so far: 12209.0
If we subtract 306 from 325, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
If we divide 190 by 34, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 12209.5
If we take 170 away from 190, 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.

Going ahead to step 8:
If we divide 200 by 34, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 12209.55
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 12209.55, with a leftover of 0.03.