565237 ÷ 34 
Our goal is to divide 565237 by 34.

Step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 34

On to step 2:
When dividing 56 by 34, we get 1 with a remainder of 22.
Write down 1 as next digit of 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

Moving on to step 3:
When dividing 225 by 34, we get 6 with a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we take 204 away from 225, we end up with 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 34

Advancing to step 4:
34 can be fit into 212 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 166.0
If we subtract 204 from 212, we get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 34

Step 5:
34 goes into 83 2 times with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 1662.0
The remainder is 15 after subtracting 68 from 83.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 34

Advancing to step 6:
34 can be fit into 157 4 times, resulting in a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 16624.0
If we subtract 136 from 157, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
When dividing 210 by 34, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 16624.6
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.

Moving on to step 8:
If we divide 60 by 34, we get 1 and a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 16624.61
The remainder is 26 after subtracting 34 from 60.
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 can be fit into 260 7 times, resulting in a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 16624.617
Deduct 238 from 260 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 10:
If we divide 220 by 34, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 16624.6176
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
If we divide 160 by 34, we get 4 and a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 16624.61764
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
The number 34 fits into 240 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 16624.617647
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.

Step 13:
If we divide 20 by 34, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 16624.617647
Subtract 0 from 20 to get 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:
34 goes into 200 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 16624.61764705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 16624.61764705, with a leftover of 3e-08.