34938289 ÷ 353 
The aim is to understand the frequency of 353 in 34938289.

Let's proceed to step 1:
If we divide 3 by 353, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 353

On to step 2:
When dividing 34 by 353, we get 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 353

Going ahead to step 3:
When dividing 349 by 353, we get 0 with a remainder of 349.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 349 leaves us with 349.
Take the next digit (3) from the dividend and append it to 349, then repeat: 3493 / 353

Step 4:
When dividing 3493 by 353, we get 9 with a remainder of 316.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 316 after subtracting 3177 from 3493.
Include the next digit (8) from the dividend after 316, then repeat: 3168 / 353

Moving on to step 5:
When dividing 3168 by 353, we get 8 with a remainder of 344.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Deduct 2824 from 3168 and we're left with 344.
Fetch the next digit (2) from the dividend, attach it to 344 and continue: 3442 / 353

Going ahead to step 6:
When dividing 3442 by 353, we get 9 with a remainder of 265.
The number 9 becomes the next digit in our result. 
Result so far: 989.0
The remainder is 265 after subtracting 3177 from 3442.
Grab the next digit (8) from the dividend, add it to 265, then carry on: 2658 / 353

Step 7:
The number 353 fits into 2658 7 times, leaving a remainder of 187.
Put 7 as the next digit of the answer. 
Result so far: 9897.0
Subtract 2471 from 2658 to get 187.
Append the next digit (9) from the dividend to 187 and continue with: 1879 / 353

Step 8:
1879 divided by 353 is 5 with a remainder of 114.
The number 5 becomes the next digit in our result. 
Result so far: 98975.0
Subtract 1765 from 1879 to get 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Let's proceed to step 9:
If we divide 1140 by 353, we get 3 and a remainder of 81.
The next digit of our result is 3. 
Result so far: 98975.3
Deduct 1059 from 1140 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 10:
When dividing 810 by 353, we get 2 with a remainder of 104.
The next digit of our result is 2. 
Result so far: 98975.32
If we subtract 706 from 810, we get 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Step 11:
353 goes into 1040 2 times with a remainder of 334.
Use 2 as the next digit of our solution. 
Result so far: 98975.322
Subtract 706 from 1040 to get 334.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3340, and continue the process.

The final outcome is 98975.322, with a leftover of 0.0334.