We look at the division of 71468 by 89 
Our goal is to divide 71468 by 89.

Step 1:
If we divide 7 by 89, we get 0 and 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.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 89

On to step 2:
If we divide 71 by 89, we get 0 and a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 89

Going ahead to step 3:
If we divide 714 by 89, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 712 from 714 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 89

On to step 4:
89 goes into 26 0 times with a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
Deduct 0 from 26 and we're left with 26.
Fetch the next digit (8) from the dividend, attach it to 26 and continue: 268 / 89

Going ahead to step 5:
The number 89 fits into 268 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 803.0
The remainder is 1 after subtracting 267 from 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
The number 89 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 803.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
89 goes into 100 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 803.01
If we take 89 away from 100, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
The number 89 fits into 110 1 times, leaving a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 803.011
Deduct 89 from 110 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 803.011 with a balance of 0.0021.