We look at the division of 102810 by 3 
The aim is to understand the frequency of 3 in 102810.

Advancing to step 1:
When dividing 1 by 3, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 3

Let's proceed to step 2:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 9 from 10, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Let's proceed to step 3:
12 divided by 3 is 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 34.0
The remainder is 0 after subtracting 12 from 12.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

Advancing to step 4:
When dividing 8 by 3, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 342.0
Subtract 6 from 8 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 3

Advancing to step 5:
When dividing 21 by 3, we get 7 with a remainder of 0.
The next digit of our result is 7. 
Result so far: 3427.0
The remainder is 0 after subtracting 21 from 21.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 3

Advancing to step 6:
If we divide 0 by 3, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 34270.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
If we divide 0 by 3, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 34270.0
Deduct 0 from 0 and we're left with 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:
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: 34270.0
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.

The final outcome is 34270.0, with a leftover of 0.0.