We divide 102270 by 89
We want to figure out the number of times 102270 can be divided by 89.

Going ahead to step 1:
89 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 89

On to step 2:
89 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 89

Advancing to step 3:
89 goes into 102 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 89 from 102 to get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 89

Moving on to step 4:
89 goes into 132 1 times with a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 89 from 132, we get 43.
Fetch the next digit (7) from the dividend, attach it to 43 and continue: 437 / 89

Step 5:
If we divide 437 by 89, we get 4 and a remainder of 81.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
If we subtract 356 from 437, we get 81.
Take the next digit (0) from the dividend and append it to 81, then repeat: 810 / 89

Going ahead to step 6:
The number 89 fits into 810 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 1149.0
If we take 801 away from 810, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
90 divided by 89 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1149.1
If we subtract 89 from 90, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
If we divide 10 by 89, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1149.1
If we take 0 away from 10, we end up 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.

Going ahead to step 9:
The number 89 fits into 100 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1149.101
Subtracting 89 from 100 leaves us 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.

Advancing to step 10:
110 divided by 89 is 1 with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 1149.1011
Subtract 89 from 110 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 1149.1011 with a remaining 0.00021.