We divide 101998 by 38
The aim is to understand the frequency of 38 in 101998.

Step 1:
38 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 38

Let's proceed to step 2:
38 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 38

Advancing to step 3:
When dividing 101 by 38, we get 2 with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 76 away from 101, we end up with 25.
Grab the next digit (9) from the dividend, add it to 25, then carry on: 259 / 38

Step 4:
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: 26.0
Deduct 228 from 259 and we're left with 31.
Bring next digit (9) of the dividend behind the 31 and repeat the process: 319 / 38

On to step 5:
The number 38 fits into 319 8 times, leaving a remainder of 15.
The next digit of our result is 8. 
Result so far: 268.0
If we subtract 304 from 319, we get 15.
Take the next digit (8) from the dividend and append it to 15, then repeat: 158 / 38

Moving on to step 6:
38 can be fit into 158 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 2684.0
If we take 152 away from 158, 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.

Advancing to step 7:
38 goes into 60 1 times with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 2684.1
Deduct 38 from 60 and we're left 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.

Moving on to step 8:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2684.15
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.

Let's proceed to step 9:
If we divide 300 by 38, we get 7 and a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 2684.157
If we take 266 away from 300, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 10:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 2684.1578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
When dividing 360 by 38, we get 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 2684.15789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 2684.157894
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
The number 38 fits into 280 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 2684.1578947
If we subtract 266 from 280, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
When dividing 140 by 38, we get 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 2684.15789473
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.

Our division results in 2684.15789473 with a remaining 2.6e-08.