96871 ÷ 6 
We're looking to find how many times 6 goes into 96871.

Advancing to step 1:
6 goes into 9 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 6 away from 9, we end up with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 6

On to step 2:
6 can be fit into 36 6 times, resulting in a remainder of 0.
The next digit of our result is 6. 
Result so far: 16.0
The remainder is 0 after subtracting 36 from 36.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 6

Moving on to step 3:
6 can be fit into 8 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
If we subtract 6 from 8, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 6

Step 4:
When dividing 27 by 6, we get 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 1614.0
Subtracting 24 from 27 leaves us with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 6

Going ahead to step 5:
The number 6 fits into 31 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 16145.0
If we subtract 30 from 31, 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.

On to step 6:
If we divide 10 by 6, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 16145.1
Subtracting 6 from 10 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
When dividing 40 by 6, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 16145.16
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 6, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 16145.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 16145.166 with a remaining 0.0004.