We look at the division of 871687 by 19 
We want to figure out the number of times 871687 can be divided by 19.

Step 1:
19 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 19

Moving on to step 2:
19 goes into 87 4 times with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 76 from 87 to get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 19

Step 3:
If we divide 111 by 19, we get 5 and a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtract 95 from 111 to get 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 19

Let's proceed to step 4:
If we divide 166 by 19, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 458.0
If we take 152 away from 166, we end up with 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 19

Let's proceed to step 5:
The number 19 fits into 148 7 times, leaving a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 4587.0
If we subtract 133 from 148, we get 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 19

Advancing to step 6:
157 divided by 19 is 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 45878.0
If we subtract 152 from 157, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 45878.2
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
19 goes into 120 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 45878.26
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
If we divide 60 by 19, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 45878.263
Deduct 57 from 60 and we're left 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.

Step 10:
30 divided by 19 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 45878.2631
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
If we divide 110 by 19, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 45878.26315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 45878.263157
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
19 goes into 170 8 times with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 45878.2631578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 14:
180 divided by 19 is 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 45878.26315789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 45878.26315789, and the remainder is 9e-09.