Let's divide 420177 by 78
The aim is to understand the frequency of 78 in 420177.

Step 1:
4 divided by 78 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 78

Step 2:
42 divided by 78 is 0 with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 78

Going ahead to step 3:
78 can be fit into 420 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 390 from 420, we get 30.
Fetch the next digit (1) from the dividend, attach it to 30 and continue: 301 / 78

Advancing to step 4:
301 divided by 78 is 3 with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
If we subtract 234 from 301, we get 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 78

Moving on to step 5:
78 can be fit into 677 8 times, resulting in a remainder of 53.
The next digit of our result is 8. 
Result so far: 538.0
Subtracting 624 from 677 leaves us with 53.
Append the next digit (7) from the dividend to 53 and continue with: 537 / 78

Advancing to step 6:
78 goes into 537 6 times with a remainder of 69.
Write down 6 as next digit of the result. 
Result so far: 5386.0
If we take 468 away from 537, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 7:
When dividing 690 by 78, we get 8 with a remainder of 66.
Use 8 as the next digit of our solution. 
Result so far: 5386.8
Deduct 624 from 690 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.

Let's proceed to step 8:
The number 78 fits into 660 8 times, leaving a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 5386.88
Subtracting 624 from 660 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 5386.88 with a balance of 0.036.