34120429 ÷ 313 
The aim is to understand the frequency of 313 in 34120429.

Moving on to step 1:
3 divided by 313 is 0 with 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.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 313

Let's proceed to step 2:
If we divide 34 by 313, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 313

Step 3:
313 goes into 341 1 times with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 313 from 341 leaves us with 28.
Bring next digit (2) of the dividend behind the 28 and repeat the process: 282 / 313

Step 4:
313 can be fit into 282 0 times, resulting in a remainder of 282.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 282 leaves us with 282.
Fetch the next digit (0) from the dividend, attach it to 282 and continue: 2820 / 313

Going ahead to step 5:
313 can be fit into 2820 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 109.0
The remainder is 3 after subtracting 2817 from 2820.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 313

Advancing to step 6:
When dividing 34 by 313, we get 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 1090.0
Subtract 0 from 34 to get 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 313

Step 7:
313 can be fit into 342 1 times, resulting in a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 10901.0
Subtracting 313 from 342 leaves us with 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 313

Moving on to step 8:
The number 313 fits into 299 0 times, leaving a remainder of 299.
Put 0 as the next digit of the answer. 
Result so far: 109010.0
Subtract 0 from 299 to get 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2990, and continue the process.

Advancing to step 9:
The number 313 fits into 2990 9 times, leaving a remainder of 173.
Put 9 as the next digit of the answer. 
Result so far: 109010.9
Deduct 2817 from 2990 and we're left with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Moving on to step 10:
The number 313 fits into 1730 5 times, leaving a remainder of 165.
Put 5 as the next digit of the answer. 
Result so far: 109010.95
Deduct 1565 from 1730 and we're left with 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Let's proceed to step 11:
313 can be fit into 1650 5 times, resulting in a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 109010.955
Subtract 1565 from 1650 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The final result is 109010.955 with a remainder of 0.0085.