We're dividing 871627 by 2 
We want to divide 871627 by 2.

Going ahead to step 1:
When dividing 8 by 2, we get 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 8 from 8, we get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 2

Moving on to step 2:
If we divide 7 by 2, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 43.0
If we take 6 away from 7, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 2

Going ahead to step 3:
When dividing 11 by 2, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 435.0
The remainder is 1 after subtracting 10 from 11.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 2

Advancing to step 4:
2 can be fit into 16 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 4358.0
If we take 16 away from 16, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 2

Moving on to step 5:
When dividing 2 by 2, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 43581.0
Subtract 2 from 2 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Let's proceed to step 6:
When dividing 7 by 2, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 435813.0
Subtract 6 from 7 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
The number 2 fits into 10 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 435813.5
The remainder is 0 after subtracting 10 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
When dividing 0 by 2, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 435813.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 2 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 435813.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 435813.5 with a balance of 0.0.