We look at the division of 100323 by 89 
We want to figure out the number of times 100323 can be divided by 89.

Let's proceed to step 1:
89 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 89

Let's proceed to step 2:
When dividing 10 by 89, we get 0 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.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 89

Advancing to step 3:
89 goes into 100 1 times with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 89 from 100 to get 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 89

Going ahead to step 4:
89 goes into 113 1 times with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 89 from 113 and we're left with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 89

On to step 5:
If we divide 242 by 89, we get 2 and a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 112.0
Subtracting 178 from 242 leaves us with 64.
Grab the next digit (3) from the dividend, add it to 64, then carry on: 643 / 89

On to step 6:
When dividing 643 by 89, we get 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 1127.0
If we subtract 623 from 643, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
When dividing 200 by 89, we get 2 with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 1127.2
Deduct 178 from 200 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
89 can be fit into 220 2 times, resulting in a remainder of 42.
The next digit of our result is 2. 
Result so far: 1127.22
If we take 178 away from 220, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

After the division, we end up with 1127.22 and a remainder of 0.042.