We're dividing 420362 by 78 
The aim is to understand the frequency of 78 in 420362.

Moving on to step 1:
If we divide 4 by 78, we get 0 and 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.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 78

Let's proceed to step 2:
78 goes into 42 0 times with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 78

Let's proceed to step 3:
78 can be fit into 420 5 times, resulting in a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 390 from 420 and we're left with 30.
Append the next digit (3) from the dividend to 30 and continue with: 303 / 78

On to step 4:
303 divided by 78 is 3 with a remainder of 69.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 234 from 303 leaves us with 69.
Fetch the next digit (6) from the dividend, attach it to 69 and continue: 696 / 78

Advancing to step 5:
The number 78 fits into 696 8 times, leaving a remainder of 72.
Write down 8 as next digit of the result. 
Result so far: 538.0
Subtracting 624 from 696 leaves us with 72.
Include the next digit (2) from the dividend after 72, then repeat: 722 / 78

Step 6:
If we divide 722 by 78, we get 9 and a remainder of 20.
The next digit of our result is 9. 
Result so far: 5389.0
If we take 702 away from 722, 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.

Moving on to step 7:
If we divide 200 by 78, we get 2 and a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 5389.2
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.

Let's proceed to step 8:
78 goes into 440 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 5389.25
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 9:
78 can be fit into 500 6 times, resulting in a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 5389.256
If we take 468 away from 500, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
If we divide 320 by 78, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 5389.2564
The remainder is 8 after subtracting 312 from 320.
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 11:
80 divided by 78 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 5389.25641
Subtracting 78 from 80 leaves us 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.

On to step 12:
When dividing 20 by 78, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 5389.25641
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
If we divide 200 by 78, we get 2 and a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 5389.2564102
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.

Advancing to step 14:
78 can be fit into 440 5 times, resulting in a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 5389.25641025
Deduct 390 from 440 and we're left 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.

The final result is 5389.25641025 with a remainder of 5e-08.