We're dividing 871816 by 3 
Our goal is to divide 871816 by 3.

Step 1:
The number 3 fits into 8 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 6 from 8 leaves us 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.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we take 27 away from 27, we end up with 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 3

Advancing to step 3:
The number 3 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 290.0
Subtract 0 from 1 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 3

Let's proceed to step 4:
3 can be fit into 18 6 times, resulting in a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 2906.0
If we take 18 away from 18, we end up with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 3

Advancing to step 5:
3 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 29060.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 3

Going ahead to step 6:
The number 3 fits into 16 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 290605.0
Deduct 15 from 16 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.

Moving on 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: 290605.3
Subtracting 9 from 10 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.

Let's proceed to step 8:
3 goes into 10 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 290605.33
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.

After the division, we end up with 290605.33 and a remainder of 0.001.