478432 ÷ 78 
The aim is to understand the frequency of 78 in 478432.

On to step 1:
When dividing 4 by 78, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 78

Going ahead to step 2:
47 divided by 78 is 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Append the next digit (8) from the dividend to 47 and continue with: 478 / 78

Moving on to step 3:
78 can be fit into 478 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 468 from 478 leaves us with 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 78

On to step 4:
78 goes into 104 1 times with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 61.0
The remainder is 26 after subtracting 78 from 104.
Take the next digit (3) from the dividend and append it to 26, then repeat: 263 / 78

Moving on to step 5:
78 can be fit into 263 3 times, resulting in a remainder of 29.
The next digit of our result is 3. 
Result so far: 613.0
Subtracting 234 from 263 leaves us with 29.
Grab the next digit (2) from the dividend, add it to 29, then carry on: 292 / 78

Advancing to step 6:
If we divide 292 by 78, we get 3 and a remainder of 58.
Use 3 as the next digit of our solution. 
Result so far: 6133.0
Deduct 234 from 292 and we're left 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.

On to step 7:
When dividing 580 by 78, we get 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 6133.7
The remainder is 34 after subtracting 546 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
78 goes into 340 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 6133.74
If we take 312 away from 340, we end up 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.

Let's proceed to step 9:
280 divided by 78 is 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 6133.743
Subtract 234 from 280 to get 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 10:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 6133.7435
The remainder is 70 after subtracting 390 from 460.
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 11:
78 goes into 700 8 times with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 6133.74358
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.

Step 12:
78 can be fit into 760 9 times, resulting in a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 6133.743589
The remainder is 58 after subtracting 702 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 13:
580 divided by 78 is 7 with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 6133.7435897
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.

Step 14:
The number 78 fits into 340 4 times, leaving a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 6133.74358974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 6133.74358974 with a balance of 2.8e-08.