765538 ÷ 78 
The aim is to understand the frequency of 78 in 765538.

On to step 1:
If we divide 7 by 78, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 78

Let's proceed to step 2:
The number 78 fits into 76 0 times, leaving a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Bring next digit (5) of the dividend behind the 76 and repeat the process: 765 / 78

Let's proceed to step 3:
78 goes into 765 9 times with a remainder of 63.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 702 from 765, we get 63.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 78

Step 4:
When dividing 635 by 78, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 98.0
If we subtract 624 from 635, we get 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 78

On to step 5:
When dividing 113 by 78, we get 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 981.0
Subtracting 78 from 113 leaves us with 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 78

Advancing to step 6:
When dividing 358 by 78, we get 4 with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 9814.0
If we take 312 away from 358, we end up 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.

On to step 7:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 9814.5
If we take 390 away from 460, we end up 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 8:
78 goes into 700 8 times with a remainder of 76.
The next digit of our result is 8. 
Result so far: 9814.58
If we take 624 away from 700, we end up 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.

Going ahead to step 9:
If we divide 760 by 78, we get 9 and a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 9814.589
Deduct 702 from 760 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 10:
If we divide 580 by 78, we get 7 and a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 9814.5897
If we subtract 546 from 580, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 11:
78 goes into 340 4 times with a remainder of 28.
The next digit of our result is 4. 
Result so far: 9814.58974
The remainder is 28 after subtracting 312 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
78 can be fit into 280 3 times, resulting in a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 9814.589743
Subtract 234 from 280 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
If we divide 460 by 78, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 9814.5897435
The remainder is 70 after subtracting 390 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 14:
The number 78 fits into 700 8 times, leaving a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 9814.58974358
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.

Our division results in 9814.58974358 with a remaining 7.6e-08.