100999 divided by 38 
The aim is to understand the frequency of 38 in 100999.

Advancing to step 1:
If we divide 1 by 38, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 38

Advancing to step 2:
If we divide 10 by 38, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 38

Moving on to step 3:
When dividing 100 by 38, we get 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 76 from 100 to get 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 38

Step 4:
38 can be fit into 249 6 times, resulting in a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtracting 228 from 249 leaves us with 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 38

Let's proceed to step 5:
38 can be fit into 219 5 times, resulting in a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 265.0
Subtracting 190 from 219 leaves us with 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 38

Step 6:
38 goes into 299 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 2657.0
The remainder is 33 after subtracting 266 from 299.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
The number 38 fits into 330 8 times, leaving a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 2657.8
If we take 304 away from 330, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
The number 38 fits into 260 6 times, leaving a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 2657.86
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
The number 38 fits into 320 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 2657.868
Deduct 304 from 320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
38 goes into 160 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 2657.8684
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 38, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2657.86842
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
38 goes into 40 1 times with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 2657.868421
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
When dividing 20 by 38, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2657.868421
Subtract 0 from 20 to 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.

Moving on to step 14:
38 can be fit into 200 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2657.86842105
Deduct 190 from 200 and we're left 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.

In conclusion, the division gives 2657.86842105 with a balance of 1e-08.