We look at the division of 33103 by 23 
We're looking to find how many times 23 goes into 33103.

Let's proceed to step 1:
If we divide 3 by 23, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 23

Let's proceed to step 2:
33 divided by 23 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 23 from 33 leaves us with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 23

Let's proceed to step 3:
The number 23 fits into 101 4 times, leaving a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 92 from 101 to get 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 23

Let's proceed to step 4:
When dividing 90 by 23, we get 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.0
The remainder is 21 after subtracting 69 from 90.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 23

Let's proceed to step 5:
23 goes into 213 9 times with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 1439.0
Subtracting 207 from 213 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
23 can be fit into 60 2 times, resulting in a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 1439.2
Subtracting 46 from 60 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
The number 23 fits into 140 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 1439.26
If we take 138 away from 140, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
When dividing 20 by 23, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1439.26
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
23 goes into 200 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 1439.2608
If we subtract 184 from 200, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
If we divide 160 by 23, we get 6 and a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 1439.26086
Deduct 138 from 160 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.

Moving on to step 11:
If we divide 220 by 23, we get 9 and a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 1439.260869
If we take 207 away from 220, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 12:
When dividing 130 by 23, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 1439.2608695
If we take 115 away from 130, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 13:
150 divided by 23 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 1439.26086956
If we take 138 away from 150, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 1439.26086956 with a remaining 1.2e-08.