Let's divide 588320 by 34
Our goal is to divide 588320 by 34.

Advancing to step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
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

Advancing to step 2:
58 divided by 34 is 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 58 and we're left with 24.
Take the next digit (8) from the dividend and append it to 24, then repeat: 248 / 34

Going ahead to step 3:
When dividing 248 by 34, we get 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 238 from 248 to get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 34

On to step 4:
34 can be fit into 103 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 173.0
Deduct 102 from 103 and we're left with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 34

Moving on to step 5:
12 divided by 34 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 1730.0
Subtracting 0 from 12 leaves us with 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 34

Going ahead to step 6:
When dividing 120 by 34, we get 3 with a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 17303.0
Subtract 102 from 120 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 17303.5
Subtracting 170 from 180 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.

On 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: 17303.52
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
34 goes into 320 9 times with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 17303.529
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
140 divided by 34 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 17303.5294
Deduct 136 from 140 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 11:
When dividing 40 by 34, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 17303.52941
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.
Use 1 as the next digit of our solution. 
Result so far: 17303.529411
If we take 34 away from 60, we end up 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 outcome is 17303.529411, with a leftover of 2.6e-06.