582395 divided by 13 
Our goal is to divide 582395 by 13.

Let's proceed to step 1:
13 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Step 2:
13 can be fit into 58 4 times, resulting in a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 6 after subtracting 52 from 58.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

Moving on to step 3:
If we divide 62 by 13, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
The remainder is 10 after subtracting 52 from 62.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 13

Step 4:
13 can be fit into 103 7 times, resulting in a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 447.0
Deduct 91 from 103 and we're left with 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 13

Step 5:
129 divided by 13 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 4479.0
Subtract 117 from 129 to get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 13

Let's proceed to step 6:
13 goes into 125 9 times with a remainder of 8.
The next digit of our result is 9. 
Result so far: 44799.0
Subtracting 117 from 125 leaves us 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.

Going ahead to step 7:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 44799.6
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:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 44799.61
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 44799.615
If we take 65 away from 70, we end up 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.

Let's proceed to step 10:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 44799.6153
If we subtract 39 from 50, we get 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:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 44799.61538
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.

Moving on to step 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 44799.615384
Subtract 52 from 60 to 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:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 44799.6153846
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.

Step 14:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 44799.61538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 44799.61538461 and a remainder of 7e-09.