458681 divided by 78 
The aim is to understand the frequency of 78 in 458681.

Let's proceed to step 1:
When dividing 4 by 78, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 78

Step 2:
When dividing 45 by 78, we get 0 with a remainder of 45.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 45 leaves us with 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 78

Advancing to step 3:
The number 78 fits into 458 5 times, leaving a remainder of 68.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 390 from 458, we get 68.
Grab the next digit (6) from the dividend, add it to 68, then carry on: 686 / 78

Moving on to step 4:
78 goes into 686 8 times with a remainder of 62.
The next digit of our result is 8. 
Result so far: 58.0
If we take 624 away from 686, we end up with 62.
Grab the next digit (8) from the dividend, add it to 62, then carry on: 628 / 78

Advancing to step 5:
When dividing 628 by 78, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 588.0
The remainder is 4 after subtracting 624 from 628.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 78

Advancing to step 6:
78 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 5880.0
Subtract 0 from 41 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
If we divide 410 by 78, we get 5 and a remainder of 20.
The next digit of our result is 5. 
Result so far: 5880.5
Subtracting 390 from 410 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
The number 78 fits into 200 2 times, leaving a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 5880.52
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
The number 78 fits into 440 5 times, leaving a remainder of 50.
The next digit of our result is 5. 
Result so far: 5880.525
Subtracting 390 from 440 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
When dividing 500 by 78, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 5880.5256
If we subtract 468 from 500, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
78 goes into 320 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5880.52564
Subtract 312 from 320 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
78 goes into 80 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 5880.525641
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
The number 78 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 5880.525641
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 14:
If we divide 200 by 78, we get 2 and a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 5880.52564102
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 5880.52564102 with a remainder of 4.4e-08.