We're dividing 343646 by 38 
The aim is to understand the frequency of 38 in 343646.

Advancing to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 38

Let's proceed to step 2:
34 divided by 38 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 38

Moving on to step 3:
If we divide 343 by 38, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 342 from 343 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 38

Moving on to step 4:
The number 38 fits into 16 0 times, leaving a remainder of 16.
The next digit of our result is 0. 
Result so far: 90.0
The remainder is 16 after subtracting 0 from 16.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 38

Advancing to step 5:
The number 38 fits into 164 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 904.0
Deduct 152 from 164 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 38

Advancing to step 6:
126 divided by 38 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 9043.0
The remainder is 12 after subtracting 114 from 126.
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 7:
38 can be fit into 120 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 9043.3
Subtracting 114 from 120 leaves us 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.

Advancing to step 8:
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: 9043.31
If we take 38 away from 60, we end up with 22.
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 9:
38 goes into 220 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 9043.315
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 9043.3157
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
When dividing 340 by 38, we get 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 9043.31578
Subtracting 304 from 340 leaves us 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.

Moving on to step 12:
38 goes into 360 9 times with a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 9043.315789
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 9043.3157894
If we subtract 152 from 180, we 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.

Let's proceed to step 14:
38 can be fit into 280 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 9043.31578947
The remainder is 14 after subtracting 266 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 9043.31578947 and a remainder of 1.4e-08.