We're dividing 17871 by 34 
We want to figure out the number of times 17871 can be divided by 34.

Let's proceed to step 1:
1 divided by 34 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 34

Moving on to step 2:
If we divide 17 by 34, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 34

On to step 3:
34 can be fit into 178 5 times, resulting in a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 170 from 178 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 34

On to step 4:
34 goes into 87 2 times with a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
If we take 68 away from 87, we end up with 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 34

Going ahead to step 5:
When dividing 191 by 34, we get 5 with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 525.0
If we subtract 170 from 191, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 6:
34 can be fit into 210 6 times, resulting in a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 525.6
The remainder is 6 after subtracting 204 from 210.
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 7:
When dividing 60 by 34, we get 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 525.61
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
If we divide 260 by 34, we get 7 and a remainder of 22.
The next digit of our result is 7. 
Result so far: 525.617
The remainder is 22 after subtracting 238 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
When dividing 220 by 34, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 525.6176
If we take 204 away from 220, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
When dividing 160 by 34, we get 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 525.61764
If we subtract 136 from 160, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
240 divided by 34 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 525.617647
Deduct 238 from 240 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
20 divided by 34 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 525.617647
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
When dividing 200 by 34, we get 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 525.61764705
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 525.61764705, with a leftover of 3e-08.