We're dividing 589510 by 34 
Our goal is to divide 589510 by 34.

Step 1:
34 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 34

Moving on to step 2:
34 can be fit into 58 1 times, resulting in a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 34 from 58 leaves us with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 34

On to step 3:
If we divide 249 by 34, we get 7 and a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtracting 238 from 249 leaves us with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 34

On to step 4:
34 goes into 115 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 173.0
The remainder is 13 after subtracting 102 from 115.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 34

Advancing to step 5:
34 can be fit into 131 3 times, resulting in a remainder of 29.
The next digit of our result is 3. 
Result so far: 1733.0
If we take 102 away from 131, we end up with 29.
Take the next digit (0) from the dividend and append it to 29, then repeat: 290 / 34

Let's proceed to step 6:
When dividing 290 by 34, we get 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 17338.0
Subtracting 272 from 290 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
If we divide 180 by 34, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 17338.5
Subtract 170 from 180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 34 fits into 100 2 times, leaving a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 17338.52
Subtracting 68 from 100 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
If we divide 320 by 34, we get 9 and a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 17338.529
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
140 divided by 34 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 17338.5294
Subtract 136 from 140 to get 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 11:
34 goes into 40 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 17338.52941
Deduct 34 from 40 and we're left 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.

Going ahead to step 12:
34 can be fit into 60 1 times, resulting in a remainder of 26.
The next digit of our result is 1. 
Result so far: 17338.529411
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.

After the division, we end up with 17338.529411 and a remainder of 2.6e-06.