We look at the division of 105329 by 3 
We're looking to find how many times 3 goes into 105329.

Let's proceed to step 1:
3 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

Moving on to step 2:
If we divide 10 by 3, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 9 from 10 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 3

Going ahead to step 3:
15 divided by 3 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtracting 15 from 15 leaves us with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Moving on to step 4:
When dividing 3 by 3, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 351.0
Deduct 3 from 3 and we're left with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Moving on to step 5:
When dividing 2 by 3, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 3510.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 3

Let's proceed to step 6:
When dividing 29 by 3, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 35109.0
If we subtract 27 from 29, we 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.

Let's proceed to step 7:
20 divided by 3 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 35109.6
The remainder is 2 after subtracting 18 from 20.
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 8:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 35109.66
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 35109.66 with a remainder of 0.002.