409565 divided by 34 
The aim is to understand the frequency of 34 in 409565.

Let's proceed to step 1:
34 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 34

Moving on to step 2:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 34 away from 40, we end up with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 34

Step 3:
34 goes into 69 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 68 from 69 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 34

Let's proceed to step 4:
If we divide 15 by 34, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 120.0
Subtract 0 from 15 to get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 34

Step 5:
The number 34 fits into 156 4 times, leaving a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 1204.0
If we take 136 away from 156, we end up with 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 34

Moving on to step 6:
When dividing 205 by 34, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 12046.0
Subtract 204 from 205 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 34 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 12046.0
Deduct 0 from 10 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.

Advancing to step 8:
When dividing 100 by 34, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 12046.02
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
When dividing 320 by 34, we get 9 with a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 12046.029
If we subtract 306 from 320, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 10:
If we divide 140 by 34, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 12046.0294
Subtracting 136 from 140 leaves us 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.

Step 11:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 12046.02941
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
When dividing 60 by 34, we get 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 12046.029411
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 12046.029411 with a balance of 2.6e-06.