Let's divide 558719 by 34
Our goal is to divide 558719 by 34.

On to step 1:
34 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 34

On to step 2:
34 goes into 55 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 34 from 55 and we're left with 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 34

On to step 3:
218 divided by 34 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 204 from 218 leaves us with 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 34

Moving on to step 4:
34 goes into 147 4 times with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 164.0
If we take 136 away from 147, we end up with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 34

On to step 5:
34 goes into 111 3 times with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 1643.0
Subtracting 102 from 111 leaves us with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 34

On to step 6:
The number 34 fits into 99 2 times, leaving a remainder of 31.
Put 2 as the next digit of the answer. 
Result so far: 16432.0
Subtract 68 from 99 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
34 can be fit into 310 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 16432.9
Deduct 306 from 310 and we're left 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.

Step 8:
40 divided by 34 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 16432.91
Subtracting 34 from 40 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 16432.911
If we subtract 34 from 60, we 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.

The final result is 16432.911 with a remainder of 0.0026.