We're dividing 596582 by 19 
We want to divide 596582 by 19.

Advancing to step 1:
The number 19 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 19

Moving on to step 2:
59 divided by 19 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 57 away from 59, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 19

Step 3:
The number 19 fits into 26 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 31.0
If we take 19 away from 26, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 19

Moving on to step 4:
19 can be fit into 75 3 times, resulting in a remainder of 18.
The next digit of our result is 3. 
Result so far: 313.0
Subtracting 57 from 75 leaves us with 18.
Append the next digit (8) from the dividend to 18 and continue with: 188 / 19

On to step 5:
188 divided by 19 is 9 with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 3139.0
Subtract 171 from 188 to get 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 19

Step 6:
172 divided by 19 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 31399.0
Subtracting 171 from 172 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.

Going ahead to step 7:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 31399.0
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.

Step 8:
19 goes into 100 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 31399.05
If we take 95 away from 100, 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 9:
If we divide 50 by 19, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 31399.052
Deduct 38 from 50 and we're left with 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 10:
19 goes into 120 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 31399.0526
Subtracting 114 from 120 leaves us 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 11:
When dividing 60 by 19, we get 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 31399.05263
Subtract 57 from 60 to get 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 12:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 31399.052631
Subtract 19 from 30 to 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.

Advancing to step 13:
110 divided by 19 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 31399.0526315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
If we divide 150 by 19, we get 7 and a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 31399.05263157
Deduct 133 from 150 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 31399.05263157 and a remainder of 1.7e-08.