416201 ÷ 78 
The aim is to understand the frequency of 78 in 416201.

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
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 78

Step 2:
The number 78 fits into 41 0 times, leaving a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 78

Let's proceed to step 3:
If we divide 416 by 78, we get 5 and a remainder of 26.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 26 after subtracting 390 from 416.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 78

Advancing to step 4:
262 divided by 78 is 3 with a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 53.0
If we subtract 234 from 262, we get 28.
Bring next digit (0) of the dividend behind the 28 and repeat the process: 280 / 78

Let's proceed to step 5:
When dividing 280 by 78, we get 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 533.0
The remainder is 46 after subtracting 234 from 280.
Bring next digit (1) of the dividend behind the 46 and repeat the process: 461 / 78

Moving on to step 6:
When dividing 461 by 78, we get 5 with a remainder of 71.
Use 5 as the next digit of our solution. 
Result so far: 5335.0
If we take 390 away from 461, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 7:
The number 78 fits into 710 9 times, leaving a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 5335.9
If we subtract 702 from 710, we 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.

Moving on to step 8:
78 can be fit into 80 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 5335.91
If we take 78 away from 80, we end up 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 9:
78 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5335.91
If we take 0 away from 20, we end up 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 10:
When dividing 200 by 78, we get 2 with a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 5335.9102
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
If we divide 440 by 78, we get 5 and a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5335.91025
The remainder is 50 after subtracting 390 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 12:
If we divide 500 by 78, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 5335.910256
The remainder is 32 after subtracting 468 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
320 divided by 78 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 5335.9102564
Subtracting 312 from 320 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
78 goes into 80 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 5335.91025641
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 5335.91025641 with a remainder of 2e-09.