566498 ÷ 34 
We want to figure out the number of times 566498 can be divided by 34.

Going ahead to step 1:
34 goes into 5 0 times with 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

Advancing 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
The remainder is 22 after subtracting 34 from 56.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 34

On to step 3:
If we divide 226 by 34, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 204 away from 226, we end up with 22.
Fetch the next digit (4) from the dividend, attach it to 22 and continue: 224 / 34

Step 4:
When dividing 224 by 34, we get 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 166.0
If we subtract 204 from 224, we get 20.
Bring next digit (9) of the dividend behind the 20 and repeat the process: 209 / 34

Let's proceed to step 5:
209 divided by 34 is 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 1666.0
The remainder is 5 after subtracting 204 from 209.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 34

On to step 6:
When dividing 58 by 34, we get 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 16661.0
Deduct 34 from 58 and we're left with 24.
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 7:
When dividing 240 by 34, we get 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 16661.7
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.

Let's proceed to step 8:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 16661.7
If we subtract 0 from 20, we 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.

Moving on to step 9:
When dividing 200 by 34, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 16661.705
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.

Going ahead to step 10:
The number 34 fits into 300 8 times, leaving a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 16661.7058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 11:
When dividing 280 by 34, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 16661.70588
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 16661.70588 with a remaining 8e-06.