359511 ÷ 13 
Let's see how many times 13 fits into 359511.

Step 1:
13 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 13

Moving on to step 2:
If we divide 35 by 13, we get 2 and a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 26 away from 35, we end up with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 13

Moving on to step 3:
13 goes into 99 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 27.0
The remainder is 8 after subtracting 91 from 99.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 13

Advancing to step 4:
13 can be fit into 85 6 times, resulting in a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 276.0
Subtracting 78 from 85 leaves us with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Let's proceed to step 5:
71 divided by 13 is 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 2765.0
Subtracting 65 from 71 leaves us with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 13

On to step 6:
61 divided by 13 is 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 27654.0
Deduct 52 from 61 and we're left 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 7:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 27654.6
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 27654.69
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.

On to step 9:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 27654.692
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.

Going ahead to step 10:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 27654.6923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 27654.6923
If we take 0 away from 10, we end up 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.

Moving on to step 12:
If we divide 100 by 13, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 27654.692307
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.

On to step 13:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 27654.6923076
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.

Let's proceed to step 14:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 27654.69230769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 27654.69230769 with a remainder of 3e-09.