871982 ÷ 13 
We want to figure out the number of times 871982 can be divided by 13.

On to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

Going ahead to step 2:
87 divided by 13 is 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 78 from 87 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 13

Going ahead to step 3:
91 divided by 13 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Subtract 91 from 91 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 13

On to step 4:
If we divide 9 by 13, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 670.0
If we subtract 0 from 9, we get 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 13

Going ahead to step 5:
The number 13 fits into 98 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 6707.0
Deduct 91 from 98 and we're left with 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 13

Advancing to step 6:
13 goes into 72 5 times with a remainder of 7.
The next digit of our result is 5. 
Result so far: 67075.0
The remainder is 7 after subtracting 65 from 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 67075.5
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 67075.53
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 67075.538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 67075.5384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 67075.53846
Deduct 78 from 80 and we're left 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.

Moving on to step 12:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 67075.538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 67075.5384615
Subtract 65 from 70 to 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.

Step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 67075.53846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 67075.53846153, and the remainder is 1.1e-08.