We look at the division of 565225 by 34 
The aim is to understand the frequency of 34 in 565225.

Let's proceed to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 34

Moving on to step 2:
If we divide 56 by 34, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 22 after subtracting 34 from 56.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 34

Going ahead to step 3:
If we divide 225 by 34, we get 6 and a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
The remainder is 21 after subtracting 204 from 225.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 34

Going ahead to step 4:
When dividing 212 by 34, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 166.0
If we subtract 204 from 212, we get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 34

Let's proceed to step 5:
When dividing 82 by 34, we get 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 1662.0
Deduct 68 from 82 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 34

Going ahead to step 6:
34 goes into 145 4 times with a remainder of 9.
The next digit of our result is 4. 
Result so far: 16624.0
The remainder is 9 after subtracting 136 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 34, we get 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 16624.2
Deduct 68 from 90 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.

Moving on to step 8:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 16624.26
If we take 204 away from 220, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
34 can be fit into 160 4 times, resulting in a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 16624.264
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 16624.2647
Deduct 238 from 240 and we're left 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.

Going ahead to step 11:
If we divide 20 by 34, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 16624.2647
Subtracting 0 from 20 leaves us 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.

Step 12:
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: 16624.264705
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 13:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 16624.2647058
Deduct 272 from 300 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
When dividing 280 by 34, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 16624.26470588
Subtracting 272 from 280 leaves us 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.

Our division results in 16624.26470588 with a remaining 8e-09.