109101 divided by 78 
The aim is to understand the frequency of 78 in 109101.

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
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 78

Moving on to step 2:
The number 78 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 78

Going ahead to step 3:
109 divided by 78 is 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 78 from 109 and we're left with 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 78

On to step 4:
The number 78 fits into 311 3 times, leaving a remainder of 77.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 234 from 311 leaves us with 77.
Grab the next digit (0) from the dividend, add it to 77, then carry on: 770 / 78

Going ahead to step 5:
If we divide 770 by 78, we get 9 and a remainder of 68.
Record the quotient 9 as the next digit in the result. 
Result so far: 139.0
Deduct 702 from 770 and we're left with 68.
Include the next digit (1) from the dividend after 68, then repeat: 681 / 78

Going ahead to step 6:
78 goes into 681 8 times with a remainder of 57.
The number 8 becomes the next digit in our result. 
Result so far: 1398.0
Subtracting 624 from 681 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
When dividing 570 by 78, we get 7 with a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 1398.7
The remainder is 24 after subtracting 546 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
When dividing 240 by 78, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 1398.73
If we take 234 away from 240, we end up 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.

Going ahead to step 9:
60 divided by 78 is 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 1398.73
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 10:
600 divided by 78 is 7 with a remainder of 54.
Write down 7 as next digit of the result. 
Result so far: 1398.7307
Subtract 546 from 600 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 11:
78 can be fit into 540 6 times, resulting in a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 1398.73076
Subtracting 468 from 540 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 12:
The number 78 fits into 720 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 1398.730769
If we take 702 away from 720, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 13:
78 can be fit into 180 2 times, resulting in a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 1398.7307692
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.

Going ahead to step 14:
78 can be fit into 240 3 times, resulting in a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 1398.73076923
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.

In conclusion, the division gives 1398.73076923 with a balance of 6e-09.