Let's divide 174098 by 78
The aim is to understand the frequency of 78 in 174098.

Going ahead to step 1:
When dividing 1 by 78, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 78

Moving on to step 2:
If we divide 17 by 78, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 78

Step 3:
If we divide 174 by 78, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 156 from 174 to get 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 78

Step 4:
78 goes into 180 2 times with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
If we take 156 away from 180, we end up with 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 78

On to step 5:
The number 78 fits into 249 3 times, leaving a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 223.0
Subtracting 234 from 249 leaves us with 15.
Bring next digit (8) of the dividend behind the 15 and repeat the process: 158 / 78

Moving on to step 6:
158 divided by 78 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 2232.0
If we subtract 156 from 158, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 78 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2232.0
Subtract 0 from 20 to 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.

On to step 8:
200 divided by 78 is 2 with a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 2232.02
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.

Moving on to step 9:
440 divided by 78 is 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 2232.025
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.

Step 10:
When dividing 500 by 78, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2232.0256
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
78 goes into 320 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 2232.02564
If we subtract 312 from 320, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
If we divide 80 by 78, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 2232.025641
If we take 78 away from 80, we end up 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.

Advancing to step 13:
If we divide 20 by 78, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 2232.025641
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
When dividing 200 by 78, we get 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 2232.02564102
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 2232.02564102 with a balance of 4.4e-08.