873687 divided by 13 
Let's see how many times 13 fits into 873687.

Going ahead to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
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

Moving on to step 2:
13 goes into 87 6 times with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 78 from 87, we get 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 13

Advancing to step 3:
13 goes into 93 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 2 after subtracting 91 from 93.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 13

Going ahead to step 4:
13 goes into 26 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 672.0
If we subtract 26 from 26, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 13

On to step 5:
8 divided by 13 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 6720.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

Advancing to step 6:
13 can be fit into 87 6 times, resulting in a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 67206.0
Deduct 78 from 87 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 67206.6
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 67206.69
The remainder is 3 after subtracting 117 from 120.
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 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 67206.692
The remainder is 4 after subtracting 26 from 30.
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 10:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 67206.6923
If we subtract 39 from 40, 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 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 67206.6923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 67206.692307
If we subtract 91 from 100, 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.

On to step 13:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 67206.6923076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 67206.69230769
Deduct 117 from 120 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.

The quotient of the division is 67206.69230769, and the remainder is 3e-09.