We're dividing 287090 by 13 
We want to figure out the number of times 287090 can be divided by 13.

Step 1:
When dividing 2 by 13, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 13

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
The remainder is 2 after subtracting 26 from 28.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

Advancing to step 3:
27 divided by 13 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
Subtracting 26 from 27 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 13

On to step 4:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 220.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 13

Moving on to step 5:
When dividing 109 by 13, we get 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 2208.0
Subtract 104 from 109 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 13

On to step 6:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 22083.0
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.

Let's proceed to step 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 22083.8
Subtract 104 from 110 to 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.

Let's proceed to step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 22083.84
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.

Step 9:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 22083.846
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.

Going ahead to step 10:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 22083.8461
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.

Advancing to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 22083.84615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 22083.846153
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 13:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 22083.8461538
Subtracting 104 from 110 leaves us 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 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 22083.84615384
Subtracting 52 from 60 leaves us 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.

In conclusion, the division gives 22083.84615384 with a balance of 8e-09.