We're dividing 581586 by 34 
We want to divide 581586 by 34.

Moving on to step 1:
If we divide 5 by 34, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 34

Let's proceed to step 2:
34 can be fit into 58 1 times, resulting in a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 34 away from 58, we end up with 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 34

Moving on to step 3:
241 divided by 34 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 238 from 241 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 34

Moving on to step 4:
34 goes into 35 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
Subtract 34 from 35 to get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 34

Moving on to step 5:
When dividing 18 by 34, we get 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 1710.0
Subtract 0 from 18 to get 18.
Bring next digit (6) of the dividend behind the 18 and repeat the process: 186 / 34

Going ahead to step 6:
The number 34 fits into 186 5 times, leaving a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 17105.0
The remainder is 16 after subtracting 170 from 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
When dividing 160 by 34, we get 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 17105.4
If we subtract 136 from 160, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
34 can be fit into 240 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 17105.47
Deduct 238 from 240 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 9:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 17105.47
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
When dividing 200 by 34, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 17105.4705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
When dividing 300 by 34, we get 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 17105.47058
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 12:
280 divided by 34 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 17105.470588
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 17105.470588 and a remainder of 8e-07.