We divide 259011 by 13
We want to figure out the number of times 259011 can be divided by 13.

Advancing to step 1:
2 divided by 13 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 13

Going ahead to step 2:
13 can be fit into 25 1 times, resulting in a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 13 away from 25, we end up with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 13

Step 3:
If we divide 129 by 13, we get 9 and a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtracting 117 from 129 leaves us with 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 13

Advancing to step 4:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 199.0
Deduct 117 from 120 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 13

Step 5:
The number 13 fits into 31 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 1992.0
Subtract 26 from 31 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 13

Step 6:
When dividing 51 by 13, we get 3 with a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 19923.0
Subtracting 39 from 51 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.

Let's proceed to step 7:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 19923.9
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.

Step 8:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 19923.92
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.

On to step 9:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 19923.923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
When dividing 10 by 13, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 19923.923
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 11:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 19923.92307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 19923.923076
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.

Step 13:
13 goes into 120 9 times with a remainder of 3.
The next digit of our result is 9. 
Result so far: 19923.9230769
Subtracting 117 from 120 leaves us 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.

Step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 19923.92307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 19923.92307692 with a remainder of 4e-09.