Let's divide 819319 by 78
The aim is to understand the frequency of 78 in 819319.

Step 1:
If we divide 8 by 78, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 78

Advancing to step 2:
78 goes into 81 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 78 from 81 and we're left with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 78

On to step 3:
If we divide 39 by 78, we get 0 and a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 39 and we're left with 39.
Bring next digit (3) of the dividend behind the 39 and repeat the process: 393 / 78

Going ahead to step 4:
78 can be fit into 393 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 105.0
Subtract 390 from 393 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 78

Let's proceed to step 5:
78 can be fit into 31 0 times, resulting in a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 1050.0
Subtracting 0 from 31 leaves us with 31.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 78

Moving on to step 6:
When dividing 319 by 78, we get 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 10504.0
If we subtract 312 from 319, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 78, we get 0 and a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 10504.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
If we divide 700 by 78, we get 8 and a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 10504.08
Subtracting 624 from 700 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 9:
When dividing 760 by 78, we get 9 with a remainder of 58.
Use 9 as the next digit of our solution. 
Result so far: 10504.089
If we take 702 away from 760, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
580 divided by 78 is 7 with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 10504.0897
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
78 can be fit into 340 4 times, resulting in a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 10504.08974
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
280 divided by 78 is 3 with a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 10504.089743
If we take 234 away from 280, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
When dividing 460 by 78, we get 5 with a remainder of 70.
The next digit of our result is 5. 
Result so far: 10504.0897435
If we subtract 390 from 460, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 14:
If we divide 700 by 78, we get 8 and a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 10504.08974358
If we subtract 624 from 700, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final outcome is 10504.08974358, with a leftover of 7.6e-08.