We look at the division of 261358 by 13 
We're looking to find how many times 13 goes into 261358.

Advancing to step 1:
If we divide 2 by 13, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 13

Advancing to step 2:
13 can be fit into 26 2 times, resulting in a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 0 after subtracting 26 from 26.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 13

Advancing to step 3:
If we divide 1 by 13, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 13

Moving on to step 4:
13 divided by 13 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 201.0
Deduct 13 from 13 and we're left with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 13

Let's proceed to step 5:
13 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 2010.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 13

Advancing to step 6:
If we divide 58 by 13, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 20104.0
Subtract 52 from 58 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 7:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 20104.4
If we take 52 away from 60, we end up 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.

Moving on to step 8:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 20104.46
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.

Advancing to step 9:
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: 20104.461
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.

Let's proceed to step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 20104.4615
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 11:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 20104.46153
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.

On to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 20104.461538
If we take 104 away from 110, we end up 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.

Step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 20104.4615384
If we take 52 away from 60, we end up 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.

On to step 14:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 20104.46153846
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.

Our division results in 20104.46153846 with a remaining 2e-09.