We're dividing 87781 by 34 
The aim is to understand the frequency of 34 in 87781.

On to step 1:
34 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 34

Moving on to step 2:
The number 34 fits into 87 2 times, leaving a remainder of 19.
The next digit of our result is 2. 
Result so far: 2.0
If we take 68 away from 87, we end up with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 34

On to step 3:
34 goes into 197 5 times with a remainder of 27.
Write down 5 as next digit of the result. 
Result so far: 25.0
Subtracting 170 from 197 leaves us with 27.
Fetch the next digit (8) from the dividend, attach it to 27 and continue: 278 / 34

Moving on to step 4:
The number 34 fits into 278 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 258.0
The remainder is 6 after subtracting 272 from 278.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 34

Going ahead to step 5:
When dividing 61 by 34, we get 1 with a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 2581.0
Subtracting 34 from 61 leaves us 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.

Let's proceed to step 6:
34 goes into 270 7 times with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 2581.7
If we subtract 238 from 270, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
34 can be fit into 320 9 times, resulting in a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 2581.79
Subtract 306 from 320 to 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 8:
When dividing 140 by 34, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 2581.794
If we take 136 away from 140, we end up 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.

Moving on to step 9:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 2581.7941
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 2581.79411
If we subtract 34 from 60, we 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.

The final result is 2581.79411 with a remainder of 2.6e-05.