405582 ÷ 13 
Our goal is to divide 405582 by 13.

Moving on to step 1:
4 divided by 13 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Going ahead to step 2:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 39 from 40 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 13

Let's proceed to step 3:
13 goes into 15 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we take 13 away from 15, we end up with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 13

On to step 4:
13 goes into 25 1 times with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 311.0
If we subtract 13 from 25, we get 12.
Take the next digit (8) from the dividend and append it to 12, then repeat: 128 / 13

Going ahead to step 5:
13 can be fit into 128 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 3119.0
If we subtract 117 from 128, we get 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 13

Let's proceed to step 6:
When dividing 112 by 13, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 31198.0
The remainder is 8 after subtracting 104 from 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 31198.6
Deduct 78 from 80 and we're left 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.

Let's proceed to step 8:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 31198.61
If we subtract 13 from 20, we 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.

Moving on to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 31198.615
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.

Advancing to step 10:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 31198.6153
If we take 39 away from 50, we end up 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 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 31198.61538
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 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 31198.615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 31198.6153846
Deduct 78 from 80 and we're left 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.

On to step 14:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 31198.61538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 31198.61538461 with a remainder of 7e-09.