We're dividing 71089101 by 882 
Let's see how many times 882 fits into 71089101.

Moving on to step 1:
882 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 882

Going ahead to step 2:
The number 882 fits into 71 0 times, leaving a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Append the next digit (0) from the dividend to 71 and continue with: 710 / 882

Advancing to step 3:
When dividing 710 by 882, we get 0 with a remainder of 710.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 710, we get 710.
Take the next digit (8) from the dividend and append it to 710, then repeat: 7108 / 882

Advancing to step 4:
The number 882 fits into 7108 8 times, leaving a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 7056 from 7108 leaves us with 52.
Grab the next digit (9) from the dividend, add it to 52, then carry on: 529 / 882

Let's proceed to step 5:
529 divided by 882 is 0 with a remainder of 529.
Record the quotient 0 as the next digit in the result. 
Result so far: 80.0
If we subtract 0 from 529, we get 529.
Fetch the next digit (1) from the dividend, attach it to 529 and continue: 5291 / 882

Moving on to step 6:
882 goes into 5291 5 times with a remainder of 881.
Put 5 as the next digit of the answer. 
Result so far: 805.0
The remainder is 881 after subtracting 4410 from 5291.
Include the next digit (0) from the dividend after 881, then repeat: 8810 / 882

Let's proceed to step 7:
8810 divided by 882 is 9 with a remainder of 872.
Put 9 as the next digit of the answer. 
Result so far: 8059.0
The remainder is 872 after subtracting 7938 from 8810.
Include the next digit (1) from the dividend after 872, then repeat: 8721 / 882

Let's proceed to step 8:
The number 882 fits into 8721 9 times, leaving a remainder of 783.
Write down 9 as next digit of the result. 
Result so far: 80599.0
Subtract 7938 from 8721 to get 783.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7830, and continue the process.

Moving on to step 9:
7830 divided by 882 is 8 with a remainder of 774.
The next digit of our result is 8. 
Result so far: 80599.8
The remainder is 774 after subtracting 7056 from 7830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7740, and continue the process.

On to step 10:
882 goes into 7740 8 times with a remainder of 684.
Record the quotient 8 as the next digit in the result. 
Result so far: 80599.88
Subtract 7056 from 7740 to get 684.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6840, and continue the process.

Our division results in 80599.88 with a remaining 0.684.