576034 ÷ 13 
We're looking to find how many times 13 goes into 576034.

Step 1:
13 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 13

Let's proceed to step 2:
The number 13 fits into 57 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 52 from 57 leaves us with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 13

Step 3:
If we divide 56 by 13, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we subtract 52 from 56, we get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 13

Moving on to step 4:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 443.0
If we take 39 away from 40, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Advancing to step 5:
When dividing 13 by 13, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 4431.0
Subtract 13 from 13 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 13

Step 6:
13 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 44310.0
The remainder is 4 after subtracting 0 from 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 44310.3
If we subtract 39 from 40, we 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.

Moving on to step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 44310.3
The remainder is 10 after subtracting 0 from 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 9:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 44310.307
If we subtract 91 from 100, we get 9.
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 10:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 44310.3076
Subtracting 78 from 90 leaves us 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.

Step 11:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 44310.30769
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.

Let's proceed to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 44310.307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 44310.3076923
Subtracting 39 from 40 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.

Let's proceed to step 14:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 44310.3076923
Deduct 0 from 10 and we're left 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.

The final result is 44310.3076923 with a remainder of 1e-08.