We're dividing 111291 by 34 
The aim is to understand the frequency of 34 in 111291.

Going ahead to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 34

Step 2:
11 divided by 34 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 34

Moving on to step 3:
When dividing 111 by 34, we get 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 102 from 111 and we're left with 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 34

Advancing to step 4:
92 divided by 34 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 32.0
If we subtract 68 from 92, we get 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 34

Advancing to step 5:
If we divide 249 by 34, we get 7 and a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 327.0
Subtract 238 from 249 to get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 34

Going ahead to step 6:
If we divide 111 by 34, we get 3 and a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 3273.0
Deduct 102 from 111 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 34 fits into 90 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 3273.2
The remainder is 22 after subtracting 68 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 34 fits into 220 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 3273.26
If we subtract 204 from 220, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
When dividing 160 by 34, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 3273.264
Subtract 136 from 160 to get 24.
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:
If we divide 240 by 34, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 3273.2647
If we take 238 away from 240, we end up 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.

Moving on to step 11:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3273.2647
If we take 0 away from 20, we end up 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.

Let's proceed to step 12:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 3273.264705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
If we divide 300 by 34, we get 8 and a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 3273.2647058
Subtract 272 from 300 to get 28.
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 14:
When dividing 280 by 34, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 3273.26470588
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.

In conclusion, the division gives 3273.26470588 with a balance of 8e-09.