583573 divided by 34 
Our goal is to divide 583573 by 34.

Let's proceed to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 34

Let's proceed to step 2:
If we divide 58 by 34, we get 1 and a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 34 from 58 to get 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 34

Advancing to step 3:
The number 34 fits into 243 7 times, leaving a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 238 from 243, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 34

Let's proceed to step 4:
34 goes into 55 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 171.0
Subtracting 34 from 55 leaves us with 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 34

Going ahead to step 5:
34 goes into 217 6 times with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 1716.0
The remainder is 13 after subtracting 204 from 217.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 34

Advancing to step 6:
34 can be fit into 133 3 times, resulting in a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 17163.0
If we subtract 102 from 133, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
If we divide 310 by 34, we get 9 and a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 17163.9
Deduct 306 from 310 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 8:
40 divided by 34 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 17163.91
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
60 divided by 34 is 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 17163.911
Deduct 34 from 60 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 17163.911 with a remainder of 0.0026.