We look at the division of 12286 by 3 
We're looking to find how many times 3 goes into 12286.

Going ahead to step 1:
If we divide 1 by 3, we get 0 and 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.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 3

Going ahead to step 2:
When dividing 12 by 3, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
If we take 12 away from 12, we end up with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Step 3:
2 divided by 3 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 40.0
If we take 0 away from 2, we end up with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Step 4:
If we divide 28 by 3, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 409.0
Deduct 27 from 28 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 3

Step 5:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 4095.0
Subtract 15 from 16 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
When dividing 10 by 3, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 4095.3
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
3 goes into 10 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 4095.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 4095.33 with a remainder of 0.001.