We're dividing 871661 by 3 
We're looking to find how many times 3 goes into 871661.

Moving on 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.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 3

Step 2:
When dividing 27 by 3, we get 9 with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 29.0
If we take 27 away from 27, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 3

Moving on to step 3:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 290.0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Advancing to step 4:
The number 3 fits into 16 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 2905.0
If we subtract 15 from 16, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 3

Going ahead to step 5:
16 divided by 3 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 29055.0
Deduct 15 from 16 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Let's proceed to step 6:
3 goes into 11 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 290553.0
If we take 9 away from 11, 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.

Let's proceed to step 7:
If we divide 20 by 3, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 290553.6
Subtracting 18 from 20 leaves us 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 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 290553.66
Subtracting 18 from 20 leaves us 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.

In conclusion, the division gives 290553.66 with a balance of 0.002.