We're dividing 89021319 by 871 
Our goal is to divide 89021319 by 871.

On to step 1:
When dividing 8 by 871, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 871

Moving on to step 2:
871 can be fit into 89 0 times, resulting in a remainder of 89.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 89 and we're left with 89.
Bring next digit (0) of the dividend behind the 89 and repeat the process: 890 / 871

On to step 3:
890 divided by 871 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 871 from 890 leaves us with 19.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 871

On to step 4:
871 can be fit into 192 0 times, resulting in a remainder of 192.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 192 to get 192.
Include the next digit (1) from the dividend after 192, then repeat: 1921 / 871

Going ahead to step 5:
871 can be fit into 1921 2 times, resulting in a remainder of 179.
Put 2 as the next digit of the answer. 
Result so far: 102.0
Subtracting 1742 from 1921 leaves us with 179.
Include the next digit (3) from the dividend after 179, then repeat: 1793 / 871

Moving on to step 6:
The number 871 fits into 1793 2 times, leaving a remainder of 51.
Put 2 as the next digit of the answer. 
Result so far: 1022.0
Subtract 1742 from 1793 to get 51.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 871

Let's proceed to step 7:
871 goes into 511 0 times with a remainder of 511.
Use 0 as the next digit of our solution. 
Result so far: 10220.0
If we take 0 away from 511, we end up with 511.
Grab the next digit (9) from the dividend, add it to 511, then carry on: 5119 / 871

Let's proceed to step 8:
The number 871 fits into 5119 5 times, leaving a remainder of 764.
Put 5 as the next digit of the answer. 
Result so far: 102205.0
If we take 4355 away from 5119, we end up with 764.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7640, and continue the process.

Let's proceed to step 9:
The number 871 fits into 7640 8 times, leaving a remainder of 672.
Put 8 as the next digit of the answer. 
Result so far: 102205.8
If we subtract 6968 from 7640, we get 672.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6720, and continue the process.

Advancing to step 10:
6720 divided by 871 is 7 with a remainder of 623.
The next digit of our result is 7. 
Result so far: 102205.87
Subtracting 6097 from 6720 leaves us with 623.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6230, and continue the process.

Moving on to step 11:
871 goes into 6230 7 times with a remainder of 133.
Put 7 as the next digit of the answer. 
Result so far: 102205.877
The remainder is 133 after subtracting 6097 from 6230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1330, and continue the process.

The final outcome is 102205.877, with a leftover of 0.0133.