We're dividing 35125942 by 353 
The aim is to understand the frequency of 353 in 35125942.

Step 1:
When dividing 3 by 353, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 353

Advancing to step 2:
If we divide 35 by 353, we get 0 and a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 353

Step 3:
353 can be fit into 351 0 times, resulting in a remainder of 351.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 351 after subtracting 0 from 351.
Fetch the next digit (2) from the dividend, attach it to 351 and continue: 3512 / 353

Let's proceed to step 4:
When dividing 3512 by 353, we get 9 with a remainder of 335.
The next digit of our result is 9. 
Result so far: 9.0
If we take 3177 away from 3512, we end up with 335.
Fetch the next digit (5) from the dividend, attach it to 335 and continue: 3355 / 353

Let's proceed to step 5:
When dividing 3355 by 353, we get 9 with a remainder of 178.
The next digit of our result is 9. 
Result so far: 99.0
Deduct 3177 from 3355 and we're left with 178.
Grab the next digit (9) from the dividend, add it to 178, then carry on: 1789 / 353

Moving on to step 6:
353 goes into 1789 5 times with a remainder of 24.
The number 5 becomes the next digit in our result. 
Result so far: 995.0
Subtracting 1765 from 1789 leaves us with 24.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 353

Advancing to step 7:
When dividing 244 by 353, we get 0 with a remainder of 244.
Use 0 as the next digit of our solution. 
Result so far: 9950.0
The remainder is 244 after subtracting 0 from 244.
Include the next digit (2) from the dividend after 244, then repeat: 2442 / 353

Step 8:
The number 353 fits into 2442 6 times, leaving a remainder of 324.
Use 6 as the next digit of our solution. 
Result so far: 99506.0
Subtract 2118 from 2442 to get 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Going ahead to step 9:
When dividing 3240 by 353, we get 9 with a remainder of 63.
The next digit of our result is 9. 
Result so far: 99506.9
The remainder is 63 after subtracting 3177 from 3240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 10:
353 can be fit into 630 1 times, resulting in a remainder of 277.
Record the quotient 1 as the next digit in the result. 
Result so far: 99506.91
Subtract 353 from 630 to get 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

Let's proceed to step 11:
353 goes into 2770 7 times with a remainder of 299.
The next digit of our result is 7. 
Result so far: 99506.917
If we subtract 2471 from 2770, we 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.

Let's proceed to step 12:
The number 353 fits into 2990 8 times, leaving a remainder of 166.
Put 8 as the next digit of the answer. 
Result so far: 99506.9178
The remainder is 166 after subtracting 2824 from 2990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Let's proceed to step 13:
When dividing 1660 by 353, we get 4 with a remainder of 248.
The number 4 becomes the next digit in our result. 
Result so far: 99506.91784
Subtract 1412 from 1660 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Moving on to step 14:
353 goes into 2480 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 99506.917847
Subtract 2471 from 2480 to get 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 15:
If we divide 90 by 353, we get 0 and a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 99506.917847
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 16:
353 can be fit into 900 2 times, resulting in a remainder of 194.
Write down 2 as next digit of the result. 
Result so far: 99506.91784702
The remainder is 194 after subtracting 706 from 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

The final outcome is 99506.91784702, with a leftover of 1.94e-07.