76423671 ÷ 871 
Our goal is to divide 76423671 by 871.

Advancing to step 1:
871 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 871

Step 2:
871 can be fit into 76 0 times, resulting in a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 76, we end up with 76.
Bring next digit (4) of the dividend behind the 76 and repeat the process: 764 / 871

Step 3:
871 can be fit into 764 0 times, resulting in a remainder of 764.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 764 to get 764.
Fetch the next digit (2) from the dividend, attach it to 764 and continue: 7642 / 871

Advancing to step 4:
7642 divided by 871 is 8 with a remainder of 674.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 6968 from 7642 and we're left with 674.
Grab the next digit (3) from the dividend, add it to 674, then carry on: 6743 / 871

Moving on to step 5:
871 goes into 6743 7 times with a remainder of 646.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
If we take 6097 away from 6743, we end up with 646.
Bring next digit (6) of the dividend behind the 646 and repeat the process: 6466 / 871

Step 6:
871 goes into 6466 7 times with a remainder of 369.
Use 7 as the next digit of our solution. 
Result so far: 877.0
Deduct 6097 from 6466 and we're left with 369.
Fetch the next digit (7) from the dividend, attach it to 369 and continue: 3697 / 871

Advancing to step 7:
871 goes into 3697 4 times with a remainder of 213.
Use 4 as the next digit of our solution. 
Result so far: 8774.0
If we take 3484 away from 3697, we end up with 213.
Append the next digit (1) from the dividend to 213 and continue with: 2131 / 871

Going ahead to step 8:
2131 divided by 871 is 2 with a remainder of 389.
The next digit of our result is 2. 
Result so far: 87742.0
Subtracting 1742 from 2131 leaves us with 389.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3890, and continue the process.

Let's proceed to step 9:
871 can be fit into 3890 4 times, resulting in a remainder of 406.
Put 4 as the next digit of the answer. 
Result so far: 87742.4
Subtract 3484 from 3890 to get 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Going ahead to step 10:
871 can be fit into 4060 4 times, resulting in a remainder of 576.
Use 4 as the next digit of our solution. 
Result so far: 87742.44
The remainder is 576 after subtracting 3484 from 4060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

The quotient of the division is 87742.44, and the remainder is 0.576.