102059 ÷ 3 
Our goal is to divide 102059 by 3.

Moving on to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 3

Step 2:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 9 from 10 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 3

Moving on to step 3:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 34.0
If we take 12 away from 12, we end up with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 3

Step 4:
When dividing 0 by 3, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 340.0
The remainder is 0 after subtracting 0 from 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 3

Let's proceed to step 5:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 3401.0
If we subtract 3 from 5, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 3

Moving on to step 6:
3 goes into 29 9 times with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 34019.0
Deduct 27 from 29 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.

Going ahead to step 7:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 34019.6
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.

Moving on to step 8:
3 goes into 20 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 34019.66
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.

After the division, we end up with 34019.66 and a remainder of 0.002.