We're dividing 182003 by 23 
We want to figure out the number of times 182003 can be divided by 23.

Going ahead to step 1:
When dividing 1 by 23, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 23

Moving on to step 2:
When dividing 18 by 23, we get 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 23

Step 3:
The number 23 fits into 182 7 times, leaving a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 21 after subtracting 161 from 182.
Grab the next digit (0) from the dividend, add it to 21, then carry on: 210 / 23

Moving on to step 4:
23 can be fit into 210 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
The remainder is 3 after subtracting 207 from 210.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 23

On to step 5:
If we divide 30 by 23, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 791.0
The remainder is 7 after subtracting 23 from 30.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 23

On to step 6:
73 divided by 23 is 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 7913.0
Subtract 69 from 73 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
23 goes into 40 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 7913.1
Subtracting 23 from 40 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
The number 23 fits into 170 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 7913.17
Deduct 161 from 170 and we're left 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.

On to step 9:
23 can be fit into 90 3 times, resulting in a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 7913.173
If we subtract 69 from 90, we 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.

Let's proceed to step 10:
The number 23 fits into 210 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 7913.1739
The remainder is 3 after subtracting 207 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
23 can be fit into 30 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 7913.17391
If we take 23 away from 30, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
The number 23 fits into 70 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 7913.173913
If we take 69 away from 70, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
When dividing 10 by 23, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 7913.173913
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
100 divided by 23 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 7913.17391304
Deduct 92 from 100 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 7913.17391304 and a remainder of 8e-09.