175129 ÷ 34 
We're looking to find how many times 34 goes into 175129.

Moving on to step 1:
The number 34 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 34

On to step 2:
34 can be fit into 17 0 times, resulting in a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 34

Moving on to step 3:
34 can be fit into 175 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 170 from 175 to get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 34

On to step 4:
51 divided by 34 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Subtract 34 from 51 to get 17.
Include the next digit (2) from the dividend after 17, then repeat: 172 / 34

Advancing to step 5:
172 divided by 34 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 515.0
Subtract 170 from 172 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 34

On to step 6:
The number 34 fits into 29 0 times, leaving a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 5150.0
The remainder is 29 after subtracting 0 from 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
The number 34 fits into 290 8 times, leaving a remainder of 18.
The next digit of our result is 8. 
Result so far: 5150.8
If we subtract 272 from 290, we 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.

Let's proceed to step 8:
180 divided by 34 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5150.85
Subtract 170 from 180 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
34 goes into 100 2 times with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 5150.852
If we subtract 68 from 100, we get 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:
When dividing 320 by 34, we get 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 5150.8529
The remainder is 14 after subtracting 306 from 320.
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.
The next digit of our result is 4. 
Result so far: 5150.85294
If we take 136 away from 140, we end up 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.

Going ahead to step 12:
When dividing 40 by 34, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 5150.852941
Deduct 34 from 40 and we're left 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.

Going ahead to step 13:
If we divide 60 by 34, we get 1 and a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 5150.8529411
Subtracting 34 from 60 leaves us 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.

After the division, we end up with 5150.8529411 and a remainder of 2.6e-07.