353344 ÷ 38 
The aim is to understand the frequency of 38 in 353344.

Let's proceed to step 1:
38 goes into 3 0 times 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.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 38

Moving on to step 2:
If we divide 35 by 38, we get 0 and a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 38

Advancing to step 3:
38 goes into 353 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 342 from 353 leaves us with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 38

Let's proceed to step 4:
If we divide 113 by 38, we get 2 and a remainder of 37.
The number 2 becomes the next digit in our result. 
Result so far: 92.0
If we take 76 away from 113, we end up with 37.
Include the next digit (4) from the dividend after 37, then repeat: 374 / 38

Let's proceed to step 5:
If we divide 374 by 38, we get 9 and a remainder of 32.
The number 9 becomes the next digit in our result. 
Result so far: 929.0
Subtract 342 from 374 to get 32.
Include the next digit (4) from the dividend after 32, then repeat: 324 / 38

Going ahead to step 6:
The number 38 fits into 324 8 times, leaving a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 9298.0
If we subtract 304 from 324, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9298.5
Subtracting 190 from 200 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 9298.52
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 9298.526
If we take 228 away from 240, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
38 goes into 120 3 times with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 9298.5263
If we take 114 away from 120, we end up 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.

Going ahead to step 11:
When dividing 60 by 38, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 9298.52631
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
If we divide 220 by 38, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 9298.526315
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
38 goes into 300 7 times with a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 9298.5263157
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 9298.52631578
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 9298.52631578, with a leftover of 3.6e-08.