We look at the division of 512621 by 34 
The aim is to understand the frequency of 34 in 512621.

Advancing to step 1:
34 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 34

Going ahead to step 2:
34 can be fit into 51 1 times, resulting in a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 34 away from 51, we end up with 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 34

Moving on to step 3:
172 divided by 34 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 170 away from 172, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 34

Let's proceed to step 4:
34 can be fit into 26 0 times, resulting in a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 150.0
If we take 0 away from 26, we end up with 26.
Take the next digit (2) from the dividend and append it to 26, then repeat: 262 / 34

Advancing to step 5:
34 goes into 262 7 times with a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 1507.0
If we take 238 away from 262, we end up with 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 34

On to step 6:
The number 34 fits into 241 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 15077.0
The remainder is 3 after subtracting 238 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
If we divide 30 by 34, we get 0 and a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 15077.0
If we take 0 away from 30, 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.

Going ahead to step 8:
34 goes into 300 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 15077.08
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
If we divide 280 by 34, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 15077.088
If we subtract 272 from 280, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 15077.088 and a remainder of 0.0008.