777678 ÷ 38 
The aim is to understand the frequency of 38 in 777678.

Going ahead to step 1:
The number 38 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 38

Moving on to step 2:
77 divided by 38 is 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 76 from 77 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 38

Advancing to step 3:
The number 38 fits into 17 0 times, leaving a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
The remainder is 17 after subtracting 0 from 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 38

Moving on to step 4:
When dividing 176 by 38, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 204.0
If we take 152 away from 176, we end up with 24.
Take the next digit (7) from the dividend and append it to 24, then repeat: 247 / 38

Going ahead to step 5:
When dividing 247 by 38, we get 6 with a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 2046.0
Subtracting 228 from 247 leaves us with 19.
Append the next digit (8) from the dividend to 19 and continue with: 198 / 38

Moving on to step 6:
When dividing 198 by 38, we get 5 with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 20465.0
Subtracting 190 from 198 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.

Advancing to step 7:
38 goes into 80 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 20465.2
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 8:
When dividing 40 by 38, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 20465.21
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.

Advancing to step 9:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 20465.21
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.

Advancing to step 10:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 20465.2105
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
38 goes into 100 2 times with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 20465.21052
The remainder is 24 after subtracting 76 from 100.
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:
The number 38 fits into 240 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 20465.210526
Deduct 228 from 240 and we're left 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.

Step 13:
120 divided by 38 is 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 20465.2105263
If we take 114 away from 120, 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.

Moving on to step 14:
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: 20465.21052631
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.

Our division results in 20465.21052631 with a remaining 2.2e-08.