Let's divide 600557 by 34
Our goal is to divide 600557 by 34.

Going ahead to step 1:
When dividing 6 by 34, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 34

Going ahead to step 2:
When dividing 60 by 34, we get 1 with a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 26 after subtracting 34 from 60.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 34

Step 3:
If we divide 260 by 34, we get 7 and a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 238 from 260, we get 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 34

Advancing to step 4:
If we divide 225 by 34, we get 6 and a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 176.0
Deduct 204 from 225 and we're left with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 34

Advancing to step 5:
34 can be fit into 215 6 times, resulting in a remainder of 11.
The next digit of our result is 6. 
Result so far: 1766.0
The remainder is 11 after subtracting 204 from 215.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 34

Advancing to step 6:
117 divided by 34 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 17663.0
Subtracting 102 from 117 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
34 can be fit into 150 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 17663.4
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
140 divided by 34 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 17663.44
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 17663.44, and the remainder is 0.004.