We divide 565033 by 34
We want to figure out the number of times 565033 can be divided by 34.

Going ahead to step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 34

On to step 2:
The number 34 fits into 56 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 34 from 56 leaves us with 22.
Bring next digit (5) of the dividend behind the 22 and repeat the process: 225 / 34

Going ahead to step 3:
If we divide 225 by 34, we get 6 and a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 204 from 225 to get 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 34

On to step 4:
The number 34 fits into 210 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 166.0
Subtracting 204 from 210 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 34

On to step 5:
The number 34 fits into 63 1 times, leaving a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 1661.0
If we take 34 away from 63, we end up with 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 34

Moving on to step 6:
34 can be fit into 293 8 times, resulting in a remainder of 21.
The next digit of our result is 8. 
Result so far: 16618.0
If we take 272 away from 293, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
If we divide 210 by 34, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 16618.6
If we subtract 204 from 210, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
34 goes into 60 1 times with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 16618.61
Subtract 34 from 60 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 9:
34 goes into 260 7 times with a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 16618.617
The remainder is 22 after subtracting 238 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
The number 34 fits into 220 6 times, leaving a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 16618.6176
The remainder is 16 after subtracting 204 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 16618.61764
Subtract 136 from 160 to 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.

Going ahead to step 12:
The number 34 fits into 240 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 16618.617647
Subtract 238 from 240 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
If we divide 20 by 34, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 16618.617647
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
The number 34 fits into 200 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 16618.61764705
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 16618.61764705 and a remainder of 3e-08.