We look at the division of 871415 by 34 
We're looking to find how many times 34 goes into 871415.

Step 1:
When dividing 8 by 34, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 34

Let's proceed to step 2:
When dividing 87 by 34, we get 2 with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 68 from 87, we get 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 34

Advancing to step 3:
When dividing 191 by 34, we get 5 with a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we subtract 170 from 191, we get 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 34

Moving on to step 4:
34 can be fit into 214 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 256.0
If we subtract 204 from 214, we get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 34

On to step 5:
The number 34 fits into 101 2 times, leaving a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 2562.0
Subtracting 68 from 101 leaves us with 33.
Append the next digit (5) from the dividend to 33 and continue with: 335 / 34

On to step 6:
34 can be fit into 335 9 times, resulting in a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 25629.0
Deduct 306 from 335 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
34 goes into 290 8 times with a remainder of 18.
The next digit of our result is 8. 
Result so far: 25629.8
Subtract 272 from 290 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:
The number 34 fits into 180 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 25629.85
If we subtract 170 from 180, we 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.

Advancing to step 9:
34 goes into 100 2 times with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 25629.852
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:
320 divided by 34 is 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 25629.8529
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.

On to step 11:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 25629.85294
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
40 divided by 34 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 25629.852941
Subtract 34 from 40 to get 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.
Put 1 as the next digit of the answer. 
Result so far: 25629.8529411
Subtract 34 from 60 to 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 outcome is 25629.8529411, with a leftover of 2.6e-07.