564158 ÷ 34 
We want to figure out the number of times 564158 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
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 34

Advancing to step 2:
34 can be fit into 56 1 times, resulting in a remainder of 22.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 34 from 56 to get 22.
Fetch the next digit (4) from the dividend, attach it to 22 and continue: 224 / 34

Advancing to step 3:
34 goes into 224 6 times with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 204 away from 224, we end up with 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 34

Going ahead to step 4:
If we divide 201 by 34, we get 5 and a remainder of 31.
The next digit of our result is 5. 
Result so far: 165.0
If we subtract 170 from 201, we get 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 34

Moving on to step 5:
34 goes into 315 9 times with a remainder of 9.
The next digit of our result is 9. 
Result so far: 1659.0
If we take 306 away from 315, we end up with 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 34

Going ahead to step 6:
34 can be fit into 98 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 16592.0
Deduct 68 from 98 and we're left 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.

Let's proceed to step 7:
300 divided by 34 is 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 16592.8
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
280 divided by 34 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 16592.88
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.

After the division, we end up with 16592.88 and a remainder of 0.008.