We're dividing 34672 by 65 
The aim is to understand the frequency of 65 in 34672.

Step 1:
65 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 65

Step 2:
65 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 65

Moving on to step 3:
If we divide 346 by 65, we get 5 and a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 325 from 346 leaves us with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 65

Going ahead to step 4:
If we divide 217 by 65, we get 3 and a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 53.0
The remainder is 22 after subtracting 195 from 217.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 65

Going ahead to step 5:
The number 65 fits into 222 3 times, leaving a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 533.0
Deduct 195 from 222 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 6:
65 can be fit into 270 4 times, resulting in a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 533.4
Deduct 260 from 270 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.

Moving on to step 7:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 533.41
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
When dividing 350 by 65, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 533.415
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
65 goes into 250 3 times with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 533.4153
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 10:
550 divided by 65 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 533.41538
Deduct 520 from 550 and we're left 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.

Advancing to step 11:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 533.415384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
400 divided by 65 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 533.4153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
65 goes into 100 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 533.41538461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 533.41538461 with a remaining 3.5e-08.