680721 divided by 38 
The aim is to understand the frequency of 38 in 680721.

On to step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 38

On to step 2:
If we divide 68 by 38, we get 1 and a remainder of 30.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 38 from 68 and we're left with 30.
Include the next digit (0) from the dividend after 30, then repeat: 300 / 38

Moving on to step 3:
If we divide 300 by 38, we get 7 and a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 266 from 300, we get 34.
Include the next digit (7) from the dividend after 34, then repeat: 347 / 38

Let's proceed to step 4:
38 can be fit into 347 9 times, resulting in a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 179.0
Deduct 342 from 347 and we're left with 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 38

Advancing to step 5:
When dividing 52 by 38, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 1791.0
If we take 38 away from 52, we end up with 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 38

Let's proceed to step 6:
38 goes into 141 3 times with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 17913.0
If we subtract 114 from 141, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
270 divided by 38 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 17913.7
Deduct 266 from 270 and we're left 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.

Moving on to step 8:
The number 38 fits into 40 1 times, leaving a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 17913.71
If we take 38 away from 40, we end up 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.

Step 9:
The number 38 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 17913.71
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.

Step 10:
200 divided by 38 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 17913.7105
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.

Let's proceed to step 11:
If we divide 100 by 38, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 17913.71052
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
240 divided by 38 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 17913.710526
Subtracting 228 from 240 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
If we divide 120 by 38, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 17913.7105263
Subtract 114 from 120 to get 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 14:
If we divide 60 by 38, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 17913.71052631
Subtracting 38 from 60 leaves us 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.

The final result is 17913.71052631 with a remainder of 2.2e-08.