725910 ÷ 78 
The aim is to understand the frequency of 78 in 725910.

Moving on to step 1:
When dividing 7 by 78, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (2) from the dividend and append it to 7, then repeat: 72 / 78

On to step 2:
72 divided by 78 is 0 with a remainder of 72.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 72, we end up with 72.
Bring next digit (5) of the dividend behind the 72 and repeat the process: 725 / 78

Moving on to step 3:
78 goes into 725 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 702 from 725 leaves us with 23.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 78

Step 4:
78 goes into 239 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 93.0
Subtracting 234 from 239 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 78

Advancing to step 5:
If we divide 51 by 78, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 930.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 78

On to step 6:
The number 78 fits into 510 6 times, leaving a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 9306.0
If we take 468 away from 510, we end up 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 7:
The number 78 fits into 420 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 9306.5
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.

Let's proceed to step 8:
If we divide 300 by 78, we get 3 and a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 9306.53
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.

Going ahead to step 9:
78 goes into 660 8 times with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 9306.538
The remainder is 36 after subtracting 624 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
78 goes into 360 4 times with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 9306.5384
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.

On to step 11:
78 can be fit into 480 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 9306.53846
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
120 divided by 78 is 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 9306.538461
Subtract 78 from 120 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
420 divided by 78 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 9306.5384615
The remainder is 30 after subtracting 390 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
78 can be fit into 300 3 times, resulting in a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 9306.53846153
If we subtract 234 from 300, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final outcome is 9306.53846153, with a leftover of 6.6e-08.