We're dividing 419602 by 78 
The aim is to understand the frequency of 78 in 419602.

Moving on to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 78

Advancing to step 2:
78 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 78

Let's proceed to step 3:
78 goes into 419 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 390 from 419 and we're left with 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 78

Let's proceed to step 4:
When dividing 296 by 78, we get 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 53.0
If we take 234 away from 296, we end up with 62.
Append the next digit (0) from the dividend to 62 and continue with: 620 / 78

Moving on to step 5:
If we divide 620 by 78, we get 7 and a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 537.0
If we subtract 546 from 620, we get 74.
Grab the next digit (2) from the dividend, add it to 74, then carry on: 742 / 78

Let's proceed to step 6:
78 goes into 742 9 times with a remainder of 40.
Put 9 as the next digit of the answer. 
Result so far: 5379.0
The remainder is 40 after subtracting 702 from 742.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
400 divided by 78 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5379.5
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
78 can be fit into 100 1 times, resulting in a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 5379.51
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
78 goes into 220 2 times with a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 5379.512
If we take 156 away from 220, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 10:
78 can be fit into 640 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 5379.5128
If we subtract 624 from 640, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
When dividing 160 by 78, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 5379.51282
If we take 156 away from 160, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
78 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 5379.51282
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
The number 78 fits into 400 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 5379.5128205
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
The number 78 fits into 100 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 5379.51282051
The remainder is 22 after subtracting 78 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 5379.51282051 and a remainder of 2.2e-08.