678335 divided by 78 
The aim is to understand the frequency of 78 in 678335.

Step 1:
When dividing 6 by 78, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 78

Moving on to step 2:
The number 78 fits into 67 0 times, leaving a remainder of 67.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 67 leaves us with 67.
Bring next digit (8) of the dividend behind the 67 and repeat the process: 678 / 78

Advancing to step 3:
78 goes into 678 8 times with a remainder of 54.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 624 from 678, we get 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 78

On to step 4:
The number 78 fits into 543 6 times, leaving a remainder of 75.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
If we subtract 468 from 543, we get 75.
Fetch the next digit (3) from the dividend, attach it to 75 and continue: 753 / 78

Let's proceed to step 5:
The number 78 fits into 753 9 times, leaving a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 869.0
Subtracting 702 from 753 leaves us with 51.
Include the next digit (5) from the dividend after 51, then repeat: 515 / 78

Advancing to step 6:
78 goes into 515 6 times with a remainder of 47.
Use 6 as the next digit of our solution. 
Result so far: 8696.0
If we take 468 away from 515, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
78 can be fit into 470 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 8696.6
If we subtract 468 from 470, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 78, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8696.6
The remainder is 20 after subtracting 0 from 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 9:
When dividing 200 by 78, we get 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 8696.602
Subtracting 156 from 200 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
78 can be fit into 440 5 times, resulting in a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 8696.6025
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
If we divide 500 by 78, we get 6 and a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 8696.60256
Subtract 468 from 500 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.

Let's proceed to step 12:
If we divide 320 by 78, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 8696.602564
Subtract 312 from 320 to get 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 13:
78 goes into 80 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 8696.6025641
If we take 78 away from 80, 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.

Moving on to step 14:
If we divide 20 by 78, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 8696.6025641
If we take 0 away from 20, we end up 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.

The final outcome is 8696.6025641, with a leftover of 2e-08.