We're dividing 106205 by 3 
Our goal is to divide 106205 by 3.

Let's proceed to step 1:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 3

Going ahead to step 2:
When dividing 10 by 3, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 9 from 10, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

On to step 3:
3 can be fit into 16 5 times, resulting in a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we subtract 15 from 16, we get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 3

Advancing to step 4:
3 can be fit into 12 4 times, resulting in a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 354.0
If we subtract 12 from 12, we get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 3

Advancing to step 5:
When dividing 0 by 3, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3540.0
Subtract 0 from 0 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Going ahead to step 6:
3 goes into 5 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 35401.0
Deduct 3 from 5 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.

Step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 35401.6
If we take 18 away from 20, 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.

Moving on to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 35401.66
If we take 18 away from 20, 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.

Our division results in 35401.66 with a remaining 0.002.