503104 ÷ 78 
The aim is to understand the frequency of 78 in 503104.

Advancing to step 1:
5 divided by 78 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 78

Advancing to step 2:
The number 78 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Append the next digit (3) from the dividend to 50 and continue with: 503 / 78

Let's proceed to step 3:
78 goes into 503 6 times with a remainder of 35.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 468 from 503 and we're left with 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 78

Advancing to step 4:
If we divide 351 by 78, we get 4 and a remainder of 39.
Use 4 as the next digit of our solution. 
Result so far: 64.0
Deduct 312 from 351 and we're left with 39.
Fetch the next digit (0) from the dividend, attach it to 39 and continue: 390 / 78

On to step 5:
78 can be fit into 390 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 645.0
The remainder is 0 after subtracting 390 from 390.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 78

Going ahead to step 6:
78 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 6450.0
Deduct 0 from 4 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 78 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6450.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
When dividing 400 by 78, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6450.05
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
100 divided by 78 is 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 6450.051
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
When dividing 220 by 78, we get 2 with a remainder of 64.
The number 2 becomes the next digit in our result. 
Result so far: 6450.0512
The remainder is 64 after subtracting 156 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
640 divided by 78 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 6450.05128
If we take 624 away from 640, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
When dividing 160 by 78, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 6450.051282
If we subtract 156 from 160, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
78 can be fit into 40 0 times, resulting in a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6450.051282
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
The number 78 fits into 400 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6450.05128205
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 6450.05128205 with a balance of 1e-08.