We're dividing 145123 by 33 
Let's see how many times 33 fits into 145123.

Going ahead to step 1:
If we divide 1 by 33, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 33

Moving on to step 2:
When dividing 14 by 33, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 33

Step 3:
33 goes into 145 4 times with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 132 from 145 and we're left with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 33

Let's proceed to step 4:
The number 33 fits into 131 3 times, leaving a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtracting 99 from 131 leaves us with 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 33

Let's proceed to step 5:
33 goes into 322 9 times with a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 439.0
If we subtract 297 from 322, we get 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 33

Going ahead to step 6:
33 can be fit into 253 7 times, resulting in a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 4397.0
The remainder is 22 after subtracting 231 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
220 divided by 33 is 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 4397.6
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
The number 33 fits into 220 6 times, leaving a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 4397.66
If we subtract 198 from 220, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 4397.66, and the remainder is 0.022.