45843 ÷ 78 
The aim is to understand the frequency of 78 in 45843.

Advancing to step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 78

Going ahead to step 2:
If we divide 45 by 78, we get 0 and a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 78

Let's proceed to step 3:
If we divide 458 by 78, we get 5 and a remainder of 68.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 68 after subtracting 390 from 458.
Grab the next digit (4) from the dividend, add it to 68, then carry on: 684 / 78

Step 4:
684 divided by 78 is 8 with a remainder of 60.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we subtract 624 from 684, we get 60.
Include the next digit (3) from the dividend after 60, then repeat: 603 / 78

Advancing to step 5:
The number 78 fits into 603 7 times, leaving a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 587.0
Subtracting 546 from 603 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 6:
If we divide 570 by 78, we get 7 and a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 587.7
The remainder is 24 after subtracting 546 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
78 goes into 240 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 587.73
If we take 234 away from 240, 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 8:
60 divided by 78 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 587.73
Subtract 0 from 60 to get 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 9:
If we divide 600 by 78, we get 7 and a remainder of 54.
The next digit of our result is 7. 
Result so far: 587.7307
Subtract 546 from 600 to get 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 10:
540 divided by 78 is 6 with a remainder of 72.
The next digit of our result is 6. 
Result so far: 587.73076
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.

On to step 11:
If we divide 720 by 78, we get 9 and a remainder of 18.
The next digit of our result is 9. 
Result so far: 587.730769
Deduct 702 from 720 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
The number 78 fits into 180 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 587.7307692
Subtracting 156 from 180 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
When dividing 240 by 78, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 587.73076923
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 587.73076923 with a remainder of 6e-09.