871621 ÷ 34 
Our goal is to divide 871621 by 34.

Advancing to step 1:
34 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 34

Step 2:
87 divided by 34 is 2 with a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 68 away from 87, we end up with 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 34

Advancing to step 3:
If we divide 191 by 34, we get 5 and a remainder of 21.
The next digit of our result is 5. 
Result so far: 25.0
Deduct 170 from 191 and we're left with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 34

Going ahead to step 4:
216 divided by 34 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 256.0
If we subtract 204 from 216, we get 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 34

Going ahead to step 5:
34 goes into 122 3 times with a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 2563.0
Deduct 102 from 122 and we're left with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 34

Let's proceed to step 6:
If we divide 201 by 34, we get 5 and a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 25635.0
If we subtract 170 from 201, we 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.

Step 7:
310 divided by 34 is 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 25635.9
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:
The number 34 fits into 40 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 25635.91
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.

Going ahead to step 9:
34 goes into 60 1 times with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 25635.911
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.

Our division results in 25635.911 with a remaining 0.0026.