809589 ÷ 78 
The aim is to understand the frequency of 78 in 809589.

Step 1:
8 divided by 78 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 78

Moving on to step 2:
If we divide 80 by 78, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 2 after subtracting 78 from 80.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 78

On to step 3:
29 divided by 78 is 0 with a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 29 leaves us with 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 78

Going ahead to step 4:
When dividing 295 by 78, we get 3 with a remainder of 61.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Subtract 234 from 295 to get 61.
Bring next digit (8) of the dividend behind the 61 and repeat the process: 618 / 78

Going ahead to step 5:
78 goes into 618 7 times with a remainder of 72.
Use 7 as the next digit of our solution. 
Result so far: 1037.0
Subtracting 546 from 618 leaves us with 72.
Include the next digit (9) from the dividend after 72, then repeat: 729 / 78

Step 6:
729 divided by 78 is 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 10379.0
If we subtract 702 from 729, 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.

On to step 7:
78 can be fit into 270 3 times, resulting in a remainder of 36.
Put 3 as the next digit of the answer. 
Result so far: 10379.3
Subtract 234 from 270 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
When dividing 360 by 78, we get 4 with a remainder of 48.
The next digit of our result is 4. 
Result so far: 10379.34
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
78 goes into 480 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 10379.346
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
78 goes into 120 1 times with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 10379.3461
Subtracting 78 from 120 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 11:
The number 78 fits into 420 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 10379.34615
Subtracting 390 from 420 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
If we divide 300 by 78, we get 3 and a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 10379.346153
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 13:
78 goes into 660 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 10379.3461538
Subtracting 624 from 660 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
The number 78 fits into 360 4 times, leaving a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 10379.34615384
The remainder is 48 after subtracting 312 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 10379.34615384 with a balance of 4.8e-08.