We divide 563406 by 3
The aim is to understand the frequency of 3 in 563406.

On to step 1:
When dividing 5 by 3, we get 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 3 from 5, we get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Moving on to step 2:
3 can be fit into 26 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 24 from 26 to get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 3

Advancing to step 3:
When dividing 23 by 3, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 187.0
If we take 21 away from 23, we end up with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 3

On to step 4:
The number 3 fits into 24 8 times, leaving a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 1878.0
Subtract 24 from 24 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 3

Step 5:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 18780.0
Subtract 0 from 0 to get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 3

Advancing to step 6:
6 divided by 3 is 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 187802.0
Subtract 6 from 6 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
If we divide 0 by 3, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 187802.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
The number 3 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 187802.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 187802.0 with a balance of 0.0.