871853 ÷ 13 
We want to figure out the number of times 871853 can be divided by 13.

On to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 13

On to step 2:
If we divide 87 by 13, we get 6 and a remainder of 9.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 78 from 87, we get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 13

Moving on to step 3:
When dividing 91 by 13, we get 7 with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtract 91 from 91 to get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 13

Step 4:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 670.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 13

On to step 5:
13 can be fit into 85 6 times, resulting in a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6706.0
Subtract 78 from 85 to get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

Let's proceed to step 6:
13 goes into 73 5 times with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 67065.0
If we subtract 65 from 73, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
If we divide 80 by 13, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 67065.6
Subtracting 78 from 80 leaves us 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.

On to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 67065.61
If we take 13 away from 20, we end up with 7.
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 9:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 67065.615
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 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 67065.6153
Subtract 39 from 50 to 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.

Advancing to step 11:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 67065.61538
If we subtract 104 from 110, we 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.

Step 12:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 67065.615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 67065.6153846
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.

Advancing to step 14:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 67065.61538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 67065.61538461 and a remainder of 7e-09.