We're dividing 345906 by 78 
The aim is to understand the frequency of 78 in 345906.

On to step 1:
The number 78 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 78

Moving on to step 2:
34 divided by 78 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (5) from the dividend, add it to 34, then carry on: 345 / 78

Advancing to step 3:
When dividing 345 by 78, we get 4 with a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 312 from 345 to get 33.
Append the next digit (9) from the dividend to 33 and continue with: 339 / 78

Step 4:
78 goes into 339 4 times with a remainder of 27.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
Subtract 312 from 339 to get 27.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 78

On to step 5:
If we divide 270 by 78, we get 3 and a remainder of 36.
Use 3 as the next digit of our solution. 
Result so far: 443.0
Subtract 234 from 270 to get 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 78

Let's proceed to step 6:
78 goes into 366 4 times with a remainder of 54.
The next digit of our result is 4. 
Result so far: 4434.0
Subtracting 312 from 366 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
78 can be fit into 540 6 times, resulting in a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 4434.6
Subtract 468 from 540 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 8:
720 divided by 78 is 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 4434.69
The remainder is 18 after subtracting 702 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
78 goes into 180 2 times with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 4434.692
Subtracting 156 from 180 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
If we divide 240 by 78, we get 3 and a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 4434.6923
Subtracting 234 from 240 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
78 goes into 60 0 times with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 4434.6923
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 12:
The number 78 fits into 600 7 times, leaving a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 4434.692307
Deduct 546 from 600 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 13:
540 divided by 78 is 6 with a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 4434.6923076
The remainder is 72 after subtracting 468 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 14:
78 goes into 720 9 times with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 4434.69230769
Subtract 702 from 720 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 4434.69230769 with a balance of 1.8e-08.