We're dividing 814212 by 78 
The aim is to understand the frequency of 78 in 814212.

Going ahead to step 1:
78 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 78

Step 2:
78 goes into 81 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 78 from 81 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 78

On to step 3:
34 divided by 78 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 34, we end up with 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 78

Advancing to step 4:
78 goes into 342 4 times with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Deduct 312 from 342 and we're left with 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 78

Going ahead to step 5:
When dividing 301 by 78, we get 3 with a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 1043.0
Subtract 234 from 301 to get 67.
Grab the next digit (2) from the dividend, add it to 67, then carry on: 672 / 78

Advancing to step 6:
78 goes into 672 8 times with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 10438.0
The remainder is 48 after subtracting 624 from 672.
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 7:
The number 78 fits into 480 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 10438.6
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
78 goes into 120 1 times with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 10438.61
Subtract 78 from 120 to 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 9:
If we divide 420 by 78, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 10438.615
Subtracting 390 from 420 leaves us with 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 10:
78 goes into 300 3 times with a remainder of 66.
The next digit of our result is 3. 
Result so far: 10438.6153
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.

Moving on to step 11:
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: 10438.61538
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.

Going ahead to step 12:
78 goes into 360 4 times with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 10438.615384
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.

Going ahead to step 13:
78 can be fit into 480 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 10438.6153846
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 14:
78 can be fit into 120 1 times, resulting in a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 10438.61538461
Deduct 78 from 120 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

After the division, we end up with 10438.61538461 and a remainder of 4.2e-08.