108993 divided by 38 
The aim is to understand the frequency of 38 in 108993.

On 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
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 38

Let's proceed to step 2:
10 divided by 38 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 38

Step 3:
The number 38 fits into 108 2 times, leaving a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 76 away from 108, we end up with 32.
Grab the next digit (9) from the dividend, add it to 32, then carry on: 329 / 38

Step 4:
If we divide 329 by 38, we get 8 and a remainder of 25.
Write down 8 as next digit of the result. 
Result so far: 28.0
Deduct 304 from 329 and we're left with 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 38

On to step 5:
If we divide 259 by 38, we get 6 and a remainder of 31.
The next digit of our result is 6. 
Result so far: 286.0
If we take 228 away from 259, we end up with 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 38

Advancing to step 6:
313 divided by 38 is 8 with a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 2868.0
Deduct 304 from 313 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 38, we get 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 2868.2
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
140 divided by 38 is 3 with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 2868.23
Subtract 114 from 140 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
When dividing 260 by 38, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2868.236
Deduct 228 from 260 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
38 goes into 320 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 2868.2368
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.

Going ahead to step 11:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 2868.23684
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
If we divide 80 by 38, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2868.236842
If we take 76 away from 80, we end up 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.

Let's proceed to step 13:
When dividing 40 by 38, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 2868.2368421
Subtracting 38 from 40 leaves us 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 14:
When dividing 20 by 38, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2868.2368421
If we subtract 0 from 20, 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.

The final result is 2868.2368421 with a remainder of 2e-08.