768828 ÷ 38 
The aim is to understand the frequency of 38 in 768828.

Step 1:
If we divide 7 by 38, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 38

Step 2:
If we divide 76 by 38, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 76 from 76 and we're left with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 38

Going ahead to step 3:
The number 38 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
If we take 0 away from 8, we end up with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 38

Let's proceed to step 4:
38 can be fit into 88 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 202.0
If we subtract 76 from 88, we get 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 38

Going ahead to step 5:
The number 38 fits into 122 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 2023.0
Subtract 114 from 122 to get 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 38

Step 6:
38 can be fit into 88 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 20232.0
If we subtract 76 from 88, we get 12.
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:
If we divide 120 by 38, we get 3 and a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 20232.3
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
38 goes into 60 1 times with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 20232.31
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.

Going ahead to step 9:
38 can be fit into 220 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 20232.315
Subtract 190 from 220 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
The number 38 fits into 300 7 times, leaving a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 20232.3157
If we subtract 266 from 300, we 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.

Let's proceed to step 11:
38 goes into 340 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 20232.31578
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.

Step 12:
When dividing 360 by 38, we get 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 20232.315789
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.

Going ahead to step 13:
180 divided by 38 is 4 with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 20232.3157894
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 14:
38 goes into 280 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 20232.31578947
Subtract 266 from 280 to 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.

The final result is 20232.31578947 with a remainder of 1.4e-08.