83178 ÷ 78 
The aim is to understand the frequency of 78 in 83178.

Advancing to step 1:
The number 78 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 78

Going ahead to step 2:
78 goes into 83 1 times with 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 (1) of the dividend behind the 5 and repeat the process: 51 / 78

Let's proceed to step 3:
When dividing 51 by 78, we get 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 51, we get 51.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 78

On to step 4:
78 can be fit into 517 6 times, resulting in a remainder of 49.
The next digit of our result is 6. 
Result so far: 106.0
If we subtract 468 from 517, we get 49.
Grab the next digit (8) from the dividend, add it to 49, then carry on: 498 / 78

Advancing to step 5:
78 can be fit into 498 6 times, resulting in a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 1066.0
If we take 468 away from 498, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 6:
When dividing 300 by 78, we get 3 with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 1066.3
The remainder is 66 after subtracting 234 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 7:
If we divide 660 by 78, we get 8 and a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 1066.38
Subtract 624 from 660 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
The number 78 fits into 360 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 1066.384
Deduct 312 from 360 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 9:
The number 78 fits into 480 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 1066.3846
Deduct 468 from 480 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
The number 78 fits into 120 1 times, leaving a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 1066.38461
Subtracting 78 from 120 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 11:
420 divided by 78 is 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 1066.384615
The remainder is 30 after subtracting 390 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
The number 78 fits into 300 3 times, leaving a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 1066.3846153
If we subtract 234 from 300, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 13:
If we divide 660 by 78, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 1066.38461538
Deduct 624 from 660 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 1066.38461538 with a remaining 3.6e-08.