We're dividing 96221 by 87 
Our goal is to divide 96221 by 87.

Step 1:
If we divide 9 by 87, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 87

Step 2:
87 goes into 96 1 times with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 87 from 96, we get 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 87

Moving on to step 3:
When dividing 92 by 87, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 87 away from 92, we end up with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 87

Going ahead to step 4:
87 can be fit into 52 0 times, resulting in a remainder of 52.
Put 0 as the next digit of the answer. 
Result so far: 110.0
Subtracting 0 from 52 leaves us with 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 87

On to step 5:
87 goes into 521 5 times with a remainder of 86.
The number 5 becomes the next digit in our result. 
Result so far: 1105.0
The remainder is 86 after subtracting 435 from 521.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 6:
860 divided by 87 is 9 with a remainder of 77.
Record the quotient 9 as the next digit in the result. 
Result so far: 1105.9
If we subtract 783 from 860, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 7:
When dividing 770 by 87, we get 8 with a remainder of 74.
The number 8 becomes the next digit in our result. 
Result so far: 1105.98
The remainder is 74 after subtracting 696 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 8:
740 divided by 87 is 8 with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 1105.988
Subtract 696 from 740 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 1105.988 with a balance of 0.0044.