Let's divide 78563 by 3
The aim is to understand the frequency of 3 in 78563.

On to step 1:
If we divide 7 by 3, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 6 away from 7, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 3

Step 2:
3 can be fit into 18 6 times, resulting in a remainder of 0.
The next digit of our result is 6. 
Result so far: 26.0
Subtracting 18 from 18 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 3

On to step 3:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 261.0
Subtracting 3 from 5 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

On to step 4:
26 divided by 3 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 2618.0
The remainder is 2 after subtracting 24 from 26.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

Going ahead to step 5:
23 divided by 3 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 26187.0
Deduct 21 from 23 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26187.6
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 26187.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 26187.66 with a remaining 0.002.