287635 ÷ 13 
We're looking to find how many times 13 goes into 287635.

On to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 13

Moving on to step 2:
13 can be fit into 28 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 26 from 28 and we're left with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 13

Going ahead to step 3:
13 goes into 27 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtract 26 from 27 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 13

Let's proceed to step 4:
If we divide 16 by 13, we get 1 and a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 221.0
The remainder is 3 after subtracting 13 from 16.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 13

Moving on to step 5:
13 can be fit into 33 2 times, resulting in a remainder of 7.
The next digit of our result is 2. 
Result so far: 2212.0
If we take 26 away from 33, we end up with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 13

Going ahead to step 6:
When dividing 75 by 13, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 22125.0
If we subtract 65 from 75, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 22125.7
Subtracting 91 from 100 leaves us 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.

Moving on to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 22125.76
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.

Step 9:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 22125.769
If we take 117 away from 120, we end up 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.

Going ahead to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 22125.7692
Subtract 26 from 30 to 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.

Advancing to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 22125.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 22125.76923
Subtracting 0 from 10 leaves us 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.

Advancing to step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 22125.7692307
Subtract 91 from 100 to 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.

Going ahead to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 22125.76923076
Subtracting 78 from 90 leaves us 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.

After the division, we end up with 22125.76923076 and a remainder of 1.2e-08.