We look at the division of 71538 by 89 
Our goal is to divide 71538 by 89.

Let's proceed to step 1:
If we divide 7 by 89, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 89

Advancing to step 2:
If we divide 71 by 89, we get 0 and a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Take the next digit (5) from the dividend and append it to 71, then repeat: 715 / 89

Advancing to step 3:
89 goes into 715 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 712 from 715 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 89

Step 4:
89 can be fit into 33 0 times, resulting in a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
Subtracting 0 from 33 leaves us with 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 89

Going ahead to step 5:
338 divided by 89 is 3 with a remainder of 71.
Write down 3 as next digit of the result. 
Result so far: 803.0
Deduct 267 from 338 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 6:
The number 89 fits into 710 7 times, leaving a remainder of 87.
The number 7 becomes the next digit in our result. 
Result so far: 803.7
Subtracting 623 from 710 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 7:
The number 89 fits into 870 9 times, leaving a remainder of 69.
Use 9 as the next digit of our solution. 
Result so far: 803.79
Deduct 801 from 870 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 8:
If we divide 690 by 89, we get 7 and a remainder of 67.
Record the quotient 7 as the next digit in the result. 
Result so far: 803.797
The remainder is 67 after subtracting 623 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 9:
The number 89 fits into 670 7 times, leaving a remainder of 47.
The next digit of our result is 7. 
Result so far: 803.7977
The remainder is 47 after subtracting 623 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The final result is 803.7977 with a remainder of 0.00047.