101277 divided by 38 
The aim is to understand the frequency of 38 in 101277.

Advancing to step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 38

Advancing to step 2:
When dividing 10 by 38, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 38

On to step 3:
101 divided by 38 is 2 with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 25 after subtracting 76 from 101.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 38

Going ahead to step 4:
38 can be fit into 252 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 26.0
Deduct 228 from 252 and we're left with 24.
Append the next digit (7) from the dividend to 24 and continue with: 247 / 38

Let's proceed to step 5:
The number 38 fits into 247 6 times, leaving a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 266.0
The remainder is 19 after subtracting 228 from 247.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 38

Advancing to step 6:
197 divided by 38 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 2665.0
The remainder is 7 after subtracting 190 from 197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
70 divided by 38 is 1 with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 2665.1
Subtract 38 from 70 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.

Moving on to step 8:
When dividing 320 by 38, we get 8 with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 2665.18
If we take 304 away from 320, we end up 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 9:
160 divided by 38 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 2665.184
Subtracting 152 from 160 leaves us 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.

On to step 10:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 2665.1842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
If we divide 40 by 38, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 2665.18421
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
If we divide 20 by 38, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2665.18421
Deduct 0 from 20 and we're left with 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 13:
38 goes into 200 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2665.1842105
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 2665.18421052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 2665.18421052 and a remainder of 2.4e-08.