We look at the division of 223823 by 306 
Our goal is to divide 223823 by 306.

Advancing to step 1:
2 divided by 306 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 306

On to step 2:
If we divide 22 by 306, we get 0 and a remainder of 22.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 22 leaves us with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 306

On to step 3:
223 divided by 306 is 0 with a remainder of 223.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 223 to get 223.
Append the next digit (8) from the dividend to 223 and continue with: 2238 / 306

Step 4:
If we divide 2238 by 306, we get 7 and a remainder of 96.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 2142 away from 2238, we end up with 96.
Append the next digit (2) from the dividend to 96 and continue with: 962 / 306

On to step 5:
306 goes into 962 3 times with a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 73.0
Deduct 918 from 962 and we're left with 44.
Grab the next digit (3) from the dividend, add it to 44, then carry on: 443 / 306

Advancing to step 6:
306 goes into 443 1 times with a remainder of 137.
The number 1 becomes the next digit in our result. 
Result so far: 731.0
Subtract 306 from 443 to get 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Step 7:
306 goes into 1370 4 times with a remainder of 146.
The next digit of our result is 4. 
Result so far: 731.4
Subtracting 1224 from 1370 leaves us with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Step 8:
When dividing 1460 by 306, we get 4 with a remainder of 236.
Record the quotient 4 as the next digit in the result. 
Result so far: 731.44
Subtracting 1224 from 1460 leaves us with 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

After the division, we end up with 731.44 and a remainder of 0.236.