We look at the division of 419013 by 78 
The aim is to understand the frequency of 78 in 419013.

Advancing to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 78

Advancing to step 2:
The number 78 fits into 41 0 times, leaving a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 78

Moving on to step 3:
78 can be fit into 419 5 times, resulting in a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 390 from 419 and we're left with 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 78

On to step 4:
When dividing 290 by 78, we get 3 with a remainder of 56.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Subtracting 234 from 290 leaves us with 56.
Fetch the next digit (1) from the dividend, attach it to 56 and continue: 561 / 78

Let's proceed to step 5:
When dividing 561 by 78, we get 7 with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 537.0
The remainder is 15 after subtracting 546 from 561.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 78

Step 6:
If we divide 153 by 78, we get 1 and a remainder of 75.
Record the quotient 1 as the next digit in the result. 
Result so far: 5371.0
Subtracting 78 from 153 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 7:
When dividing 750 by 78, we get 9 with a remainder of 48.
The next digit of our result is 9. 
Result so far: 5371.9
If we subtract 702 from 750, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
480 divided by 78 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 5371.96
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
120 divided by 78 is 1 with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 5371.961
If we subtract 78 from 120, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 10:
78 goes into 420 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5371.9615
If we subtract 390 from 420, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
The number 78 fits into 300 3 times, leaving a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 5371.96153
Subtract 234 from 300 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 12:
The number 78 fits into 660 8 times, leaving a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 5371.961538
The remainder is 36 after subtracting 624 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
360 divided by 78 is 4 with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 5371.9615384
If we take 312 away from 360, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 14:
The number 78 fits into 480 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5371.96153846
If we take 468 away from 480, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 5371.96153846, and the remainder is 1.2e-08.