We divide 416144 by 3
The aim is to understand the frequency of 3 in 416144.

Step 1:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 3 away from 4, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Going ahead to step 2:
When dividing 11 by 3, we get 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtract 9 from 11 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 3

Moving on to step 3:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 138.0
If we subtract 24 from 26, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

On to step 4:
The number 3 fits into 21 7 times, leaving a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 1387.0
If we subtract 21 from 21, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 3

On to step 5:
3 can be fit into 4 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 13871.0
Subtracting 3 from 4 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 3

Advancing to step 6:
3 goes into 14 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 138714.0
If we take 12 away from 14, we end up 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.

Step 7:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 138714.6
Deduct 18 from 20 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.

On to step 8:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 138714.66
Deduct 18 from 20 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.

In conclusion, the division gives 138714.66 with a balance of 0.002.