We look at the division of 71778600 by 871 
We're looking to find how many times 871 goes into 71778600.

Moving on to step 1:
871 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 871

Let's proceed to step 2:
If we divide 71 by 871, we get 0 and a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Bring next digit (7) of the dividend behind the 71 and repeat the process: 717 / 871

Advancing to step 3:
The number 871 fits into 717 0 times, leaving a remainder of 717.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 717 to get 717.
Include the next digit (7) from the dividend after 717, then repeat: 7177 / 871

Moving on to step 4:
The number 871 fits into 7177 8 times, leaving a remainder of 209.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 6968 from 7177 and we're left with 209.
Fetch the next digit (8) from the dividend, attach it to 209 and continue: 2098 / 871

Advancing to step 5:
The number 871 fits into 2098 2 times, leaving a remainder of 356.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
If we take 1742 away from 2098, we end up with 356.
Take the next digit (6) from the dividend and append it to 356, then repeat: 3566 / 871

Going ahead to step 6:
3566 divided by 871 is 4 with a remainder of 82.
Record the quotient 4 as the next digit in the result. 
Result so far: 824.0
If we subtract 3484 from 3566, we get 82.
Include the next digit (0) from the dividend after 82, then repeat: 820 / 871

On to step 7:
820 divided by 871 is 0 with a remainder of 820.
The number 0 becomes the next digit in our result. 
Result so far: 8240.0
If we subtract 0 from 820, we get 820.
Fetch the next digit (0) from the dividend, attach it to 820 and continue: 8200 / 871

Step 8:
When dividing 8200 by 871, we get 9 with a remainder of 361.
Put 9 as the next digit of the answer. 
Result so far: 82409.0
If we take 7839 away from 8200, we end up with 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3610, and continue the process.

Moving on to step 9:
871 goes into 3610 4 times with a remainder of 126.
Use 4 as the next digit of our solution. 
Result so far: 82409.4
Subtracting 3484 from 3610 leaves us with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 10:
871 goes into 1260 1 times with a remainder of 389.
Use 1 as the next digit of our solution. 
Result so far: 82409.41
Deduct 871 from 1260 and we're left 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 11:
871 can be fit into 3890 4 times, resulting in a remainder of 406.
The number 4 becomes the next digit in our result. 
Result so far: 82409.414
If we take 3484 away from 3890, we end up with 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

On to step 12:
If we divide 4060 by 871, we get 4 and a remainder of 576.
Write down 4 as next digit of the result. 
Result so far: 82409.4144
If we subtract 3484 from 4060, we get 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

The final outcome is 82409.4144, with a leftover of 0.00576.