16871 ÷ 7 
We want to figure out the number of times 16871 can be divided by 7.

Moving on to step 1:
The number 7 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 7

Going ahead to step 2:
If we divide 16 by 7, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 14 from 16 to get 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 7

Advancing to step 3:
7 goes into 28 4 times with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 24.0
The remainder is 0 after subtracting 28 from 28.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 7

Step 4:
7 can be fit into 7 1 times, resulting in a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 241.0
The remainder is 0 after subtracting 7 from 7.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 5:
7 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 2410.0
Subtracting 0 from 1 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 6:
7 goes into 10 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 2410.1
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
If we divide 30 by 7, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 2410.14
If we take 28 away from 30, 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.

Going ahead to step 8:
When dividing 20 by 7, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 2410.142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 2410.1428
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 2410.14285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
The number 7 fits into 50 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 2410.142857
Subtracting 49 from 50 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.

Step 12:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 2410.1428571
Subtracting 7 from 10 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 2410.14285714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 2410.14285714 and a remainder of 2e-09.