868 ÷ 3 
We're looking to find how many times 3 goes into 868.

Going ahead to step 1:
If we divide 8 by 3, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 6 away from 8, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Let's proceed to step 2:
When dividing 26 by 3, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 28.0
Subtract 24 from 26 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 3

Step 3:
The number 3 fits into 28 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 289.0
Subtracting 27 from 28 leaves us 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 4:
10 divided by 3 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 289.3
Deduct 9 from 10 and we're left 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.

Step 5:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 289.33
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 289.33 with a remainder of 0.001.