420360 divided by 78 
The aim is to understand the frequency of 78 in 420360.

Advancing to step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 78

Let's proceed to step 2:
42 divided by 78 is 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Fetch the next digit (0) from the dividend, attach it to 42 and continue: 420 / 78

Let's proceed to step 3:
When dividing 420 by 78, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 390 away from 420, we end up with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 78

On to step 4:
The number 78 fits into 303 3 times, leaving a remainder of 69.
The next digit of our result is 3. 
Result so far: 53.0
The remainder is 69 after subtracting 234 from 303.
Grab the next digit (6) from the dividend, add it to 69, then carry on: 696 / 78

Step 5:
When dividing 696 by 78, we get 8 with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 538.0
Subtract 624 from 696 to get 72.
Fetch the next digit (0) from the dividend, attach it to 72 and continue: 720 / 78

Going ahead to step 6:
When dividing 720 by 78, we get 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 5389.0
The remainder is 18 after subtracting 702 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
78 goes into 180 2 times with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 5389.2
Subtracting 156 from 180 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
78 can be fit into 240 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 5389.23
Deduct 234 from 240 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
78 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 5389.23
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
600 divided by 78 is 7 with a remainder of 54.
The next digit of our result is 7. 
Result so far: 5389.2307
Subtracting 546 from 600 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 11:
If we divide 540 by 78, we get 6 and a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 5389.23076
The remainder is 72 after subtracting 468 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 12:
If we divide 720 by 78, we get 9 and a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 5389.230769
Subtracting 702 from 720 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
78 can be fit into 180 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 5389.2307692
Deduct 156 from 180 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
240 divided by 78 is 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 5389.23076923
Subtracting 234 from 240 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 5389.23076923 with a remainder of 6e-09.