We're dividing 450105 by 78 
The aim is to understand the frequency of 78 in 450105.

Step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 78

Step 2:
If we divide 45 by 78, we get 0 and a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Append the next digit (0) from the dividend to 45 and continue with: 450 / 78

Step 3:
If we divide 450 by 78, we get 5 and a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 390 from 450, we get 60.
Take the next digit (1) from the dividend and append it to 60, then repeat: 601 / 78

Let's proceed to step 4:
When dividing 601 by 78, we get 7 with a remainder of 55.
Put 7 as the next digit of the answer. 
Result so far: 57.0
If we subtract 546 from 601, we get 55.
Fetch the next digit (0) from the dividend, attach it to 55 and continue: 550 / 78

Let's proceed to step 5:
If we divide 550 by 78, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 577.0
Deduct 546 from 550 and we're left with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 78

Moving on to step 6:
When dividing 45 by 78, we get 0 with a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 5770.0
Deduct 0 from 45 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 7:
If we divide 450 by 78, we get 5 and a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 5770.5
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
78 goes into 600 7 times with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 5770.57
The remainder is 54 after subtracting 546 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 9:
78 goes into 540 6 times with a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 5770.576
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.

Moving on to step 10:
The number 78 fits into 720 9 times, leaving a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 5770.5769
If we subtract 702 from 720, we 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.

Let's proceed to step 11:
78 goes into 180 2 times with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 5770.57692
If we subtract 156 from 180, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
If we divide 240 by 78, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 5770.576923
Deduct 234 from 240 and we're left 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 13:
78 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 5770.576923
Deduct 0 from 60 and we're left 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.

On to step 14:
600 divided by 78 is 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 5770.57692307
The remainder is 54 after subtracting 546 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 5770.57692307 with a balance of 5.4e-08.