We're dividing 101323 by 90 
Our goal is to divide 101323 by 90.

Let's proceed to step 1:
90 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 90

Advancing to step 2:
If we divide 10 by 90, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 90

Advancing to step 3:
90 goes into 101 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 90 from 101 and we're left with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 90

Moving on to step 4:
The number 90 fits into 113 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 90 from 113 to get 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 90

Moving on to step 5:
The number 90 fits into 232 2 times, leaving a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 112.0
Subtracting 180 from 232 leaves us with 52.
Fetch the next digit (3) from the dividend, attach it to 52 and continue: 523 / 90

Moving on to step 6:
523 divided by 90 is 5 with a remainder of 73.
The number 5 becomes the next digit in our result. 
Result so far: 1125.0
Deduct 450 from 523 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 7:
90 goes into 730 8 times with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 1125.8
If we take 720 away from 730, 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.

On to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1125.81
If we take 90 away from 100, 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.

Step 9:
100 divided by 90 is 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1125.811
If we take 90 away from 100, 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.

The quotient of the division is 1125.811, and the remainder is 0.001.