We look at the division of 517551 by 78 
The aim is to understand the frequency of 78 in 517551.

On to step 1:
The number 78 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 78

Step 2:
When dividing 51 by 78, we get 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 78

Let's proceed to step 3:
78 goes into 517 6 times with a remainder of 49.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 468 away from 517, we end up with 49.
Grab the next digit (5) from the dividend, add it to 49, then carry on: 495 / 78

Step 4:
The number 78 fits into 495 6 times, leaving a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Deduct 468 from 495 and we're left with 27.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 78

Advancing to step 5:
When dividing 275 by 78, we get 3 with a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 663.0
Subtracting 234 from 275 leaves us with 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 78

Advancing to step 6:
78 goes into 411 5 times with a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 6635.0
Subtract 390 from 411 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
When dividing 210 by 78, we get 2 with a remainder of 54.
The next digit of our result is 2. 
Result so far: 6635.2
Deduct 156 from 210 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
When dividing 540 by 78, we get 6 with a remainder of 72.
Record the quotient 6 as the next digit in the result. 
Result so far: 6635.26
The remainder is 72 after subtracting 468 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 9:
720 divided by 78 is 9 with a remainder of 18.
The next digit of our result is 9. 
Result so far: 6635.269
If we subtract 702 from 720, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
When dividing 180 by 78, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 6635.2692
If we subtract 156 from 180, we 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.

Step 11:
78 goes into 240 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 6635.26923
Subtract 234 from 240 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.

On to step 12:
60 divided by 78 is 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 6635.26923
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
78 can be fit into 600 7 times, resulting in a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 6635.2692307
Deduct 546 from 600 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 14:
78 can be fit into 540 6 times, resulting in a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 6635.26923076
Subtract 468 from 540 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 6635.26923076 with a balance of 7.2e-08.