Let's divide 578663 by 34
We're looking to find how many times 34 goes into 578663.

Let's proceed to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 34

Moving on to step 2:
57 divided by 34 is 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 34 from 57, we get 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 34

Step 3:
34 can be fit into 238 7 times, resulting in a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 238 from 238 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 34

Going ahead to step 4:
If we divide 6 by 34, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 170.0
If we take 0 away from 6, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 34

On to step 5:
34 can be fit into 66 1 times, resulting in a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1701.0
If we subtract 34 from 66, we get 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 34

Step 6:
323 divided by 34 is 9 with a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 17019.0
Subtracting 306 from 323 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
When dividing 170 by 34, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 17019.5
Subtract 170 from 170 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 34, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17019.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
34 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 17019.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 17019.5, with a leftover of 0.0.