We're dividing 261524 by 13 
We want to figure out the number of times 261524 can be divided by 13.

Advancing to step 1:
13 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 13

Let's proceed to step 2:
When dividing 26 by 13, we get 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 26 from 26 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 13

Going ahead to step 3:
When dividing 1 by 13, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 20.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 13

Advancing to step 4:
When dividing 15 by 13, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 201.0
Subtracting 13 from 15 leaves us with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 13

Step 5:
22 divided by 13 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 2011.0
If we subtract 13 from 22, we get 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 13

Going ahead to step 6:
94 divided by 13 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 20117.0
If we take 91 away from 94, 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 7:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 20117.2
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.

On to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 20117.23
If we take 39 away from 40, we end up 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.

Let's proceed to step 9:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 20117.23
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.

Let's proceed to step 10:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 20117.2307
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.

Moving on to step 11:
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: 20117.23076
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 12:
13 goes into 120 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 20117.230769
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.

Moving on to step 13:
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: 20117.2307692
If we take 26 away from 30, we end up 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.

On to step 14:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 20117.23076923
Subtracting 39 from 40 leaves us 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.

The final outcome is 20117.23076923, with a leftover of 1e-09.