83428 divided by 78 
The aim is to understand the frequency of 78 in 83428.

Going ahead to step 1:
If we divide 8 by 78, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 78

Going ahead to step 2:
If we divide 83 by 78, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 5 after subtracting 78 from 83.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 78

On to step 3:
54 divided by 78 is 0 with a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 54 and we're left with 54.
Include the next digit (2) from the dividend after 54, then repeat: 542 / 78

Going ahead to step 4:
The number 78 fits into 542 6 times, leaving a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
Subtract 468 from 542 to get 74.
Append the next digit (8) from the dividend to 74 and continue with: 748 / 78

Moving on to step 5:
748 divided by 78 is 9 with a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 1069.0
The remainder is 46 after subtracting 702 from 748.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 6:
78 goes into 460 5 times with a remainder of 70.
The next digit of our result is 5. 
Result so far: 1069.5
Subtracting 390 from 460 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
78 can be fit into 700 8 times, resulting in a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 1069.58
Deduct 624 from 700 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 8:
78 can be fit into 760 9 times, resulting in a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 1069.589
If we subtract 702 from 760, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
78 can be fit into 580 7 times, resulting in a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 1069.5897
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
78 goes into 340 4 times with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 1069.58974
If we subtract 312 from 340, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
The number 78 fits into 280 3 times, leaving a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 1069.589743
Deduct 234 from 280 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
78 goes into 460 5 times with a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 1069.5897435
Subtracting 390 from 460 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 13:
When dividing 700 by 78, we get 8 with a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 1069.58974358
Deduct 624 from 700 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final result is 1069.58974358 with a remainder of 7.6e-08.