We're dividing 122969 by 78 
The aim is to understand the frequency of 78 in 122969.

On to step 1:
When dividing 1 by 78, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 78

On to step 2:
78 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 78

On to step 3:
122 divided by 78 is 1 with a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 78 from 122 and we're left with 44.
Bring next digit (9) of the dividend behind the 44 and repeat the process: 449 / 78

Moving on to step 4:
78 goes into 449 5 times with a remainder of 59.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 390 away from 449, we end up with 59.
Include the next digit (6) from the dividend after 59, then repeat: 596 / 78

Going ahead to step 5:
78 goes into 596 7 times with a remainder of 50.
Put 7 as the next digit of the answer. 
Result so far: 157.0
Deduct 546 from 596 and we're left with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 78

Going ahead to step 6:
509 divided by 78 is 6 with a remainder of 41.
The number 6 becomes the next digit in our result. 
Result so far: 1576.0
If we take 468 away from 509, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
410 divided by 78 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 1576.5
Deduct 390 from 410 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
78 goes into 200 2 times with a remainder of 44.
The next digit of our result is 2. 
Result so far: 1576.52
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.

Going ahead to step 9:
78 goes into 440 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 1576.525
Subtract 390 from 440 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
The number 78 fits into 500 6 times, leaving a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 1576.5256
Deduct 468 from 500 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
When dividing 320 by 78, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 1576.52564
Subtracting 312 from 320 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
78 goes into 80 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1576.525641
Deduct 78 from 80 and we're left 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:
The number 78 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1576.525641
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.

Step 14:
When dividing 200 by 78, we get 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 1576.52564102
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.

The final result is 1576.52564102 with a remainder of 4.4e-08.