557306 divided by 34 
We're looking to find how many times 34 goes into 557306.

Going ahead to step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 34

Moving on to step 2:
34 goes into 55 1 times with a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 55, we end up with 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 34

Advancing to step 3:
34 goes into 217 6 times with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 204 from 217, we get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 34

Advancing to step 4:
If we divide 133 by 34, we get 3 and a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 163.0
The remainder is 31 after subtracting 102 from 133.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 34

Let's proceed to step 5:
34 can be fit into 310 9 times, resulting in a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 1639.0
The remainder is 4 after subtracting 306 from 310.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 34

On to step 6:
34 goes into 46 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 16391.0
Subtracting 34 from 46 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
120 divided by 34 is 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 16391.3
Subtract 102 from 120 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
When dividing 180 by 34, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 16391.35
The remainder is 10 after subtracting 170 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
If we divide 100 by 34, we get 2 and a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 16391.352
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The next digit of our result is 9. 
Result so far: 16391.3529
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
140 divided by 34 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 16391.35294
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
34 goes into 40 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 16391.352941
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.

Advancing to step 13:
34 goes into 60 1 times with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 16391.3529411
Deduct 34 from 60 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 16391.3529411 with a balance of 2.6e-07.