503502 ÷ 78 
The aim is to understand the frequency of 78 in 503502.

Going ahead to step 1:
78 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 78

Step 2:
78 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Bring next digit (3) of the dividend behind the 50 and repeat the process: 503 / 78

Moving on to step 3:
503 divided by 78 is 6 with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 468 from 503 and we're left with 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 78

Moving on to step 4:
78 goes into 355 4 times with a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 64.0
If we subtract 312 from 355, we get 43.
Bring next digit (0) of the dividend behind the 43 and repeat the process: 430 / 78

Step 5:
78 can be fit into 430 5 times, resulting in a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 645.0
If we subtract 390 from 430, we get 40.
Take the next digit (2) from the dividend and append it to 40, then repeat: 402 / 78

Going ahead to step 6:
78 can be fit into 402 5 times, resulting in a remainder of 12.
The next digit of our result is 5. 
Result so far: 6455.0
If we take 390 away from 402, we end up 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 7:
78 goes into 120 1 times with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 6455.1
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.

On to step 8:
When dividing 420 by 78, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 6455.15
Subtract 390 from 420 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
78 goes into 300 3 times with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 6455.153
Deduct 234 from 300 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 10:
660 divided by 78 is 8 with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 6455.1538
If we take 624 away from 660, we end up 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.

Step 11:
When dividing 360 by 78, we get 4 with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 6455.15384
Subtracting 312 from 360 leaves us 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.

Let's proceed to step 12:
78 can be fit into 480 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6455.153846
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
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: 6455.1538461
If we take 78 away from 120, we end up 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.

Step 14:
420 divided by 78 is 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 6455.15384615
Subtracting 390 from 420 leaves us 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.

In conclusion, the division gives 6455.15384615 with a balance of 3e-08.