We look at the division of 410276 by 3 
The aim is to understand the frequency of 3 in 410276.

Going ahead to step 1:
If we divide 4 by 3, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 3 from 4 and we're left with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 3

Step 2:
3 can be fit into 11 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 9 from 11 leaves us with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 3

Let's proceed to step 3:
When dividing 20 by 3, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 136.0
Subtract 18 from 20 to get 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 3

On to step 4:
3 goes into 22 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 1367.0
Deduct 21 from 22 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Advancing to step 5:
17 divided by 3 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 13675.0
Deduct 15 from 17 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Advancing to step 6:
26 divided by 3 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 136758.0
If we take 24 away from 26, 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.

Advancing 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: 136758.6
Subtracting 18 from 20 leaves us 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 8:
If we divide 20 by 3, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 136758.66
Subtracting 18 from 20 leaves us 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.

The quotient of the division is 136758.66, and the remainder is 0.002.