199954 ÷ 78 
The aim is to understand the frequency of 78 in 199954.

On to step 1:
The number 78 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 78

Let's proceed to step 2:
19 divided by 78 is 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Append the next digit (9) from the dividend to 19 and continue with: 199 / 78

Step 3:
199 divided by 78 is 2 with a remainder of 43.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 156 from 199 leaves us with 43.
Bring next digit (9) of the dividend behind the 43 and repeat the process: 439 / 78

On to step 4:
78 can be fit into 439 5 times, resulting in a remainder of 49.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
If we subtract 390 from 439, we get 49.
Bring next digit (5) of the dividend behind the 49 and repeat the process: 495 / 78

On to step 5:
When dividing 495 by 78, we get 6 with a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 256.0
If we subtract 468 from 495, we get 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 78

Moving on to step 6:
When dividing 274 by 78, we get 3 with a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 2563.0
If we take 234 away from 274, we end up 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.

Advancing to step 7:
When dividing 400 by 78, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2563.5
Subtracting 390 from 400 leaves us 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.

Advancing to step 8:
When dividing 100 by 78, we get 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 2563.51
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
78 can be fit into 220 2 times, resulting in a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 2563.512
If we subtract 156 from 220, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 10:
78 can be fit into 640 8 times, resulting in a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 2563.5128
The remainder is 16 after subtracting 624 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
When dividing 160 by 78, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2563.51282
Subtracting 156 from 160 leaves us 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:
If we divide 40 by 78, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2563.51282
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 13:
78 goes into 400 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 2563.5128205
Deduct 390 from 400 and we're left 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.

On to step 14:
If we divide 100 by 78, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 2563.51282051
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 2563.51282051 with a balance of 2.2e-08.