Let's divide 10233 by 213
We're looking to find how many times 213 goes into 10233.

Advancing to step 1:
213 can be fit into 1 0 times, resulting in 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 213

Going ahead to step 2:
If we divide 10 by 213, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 213

Moving on to step 3:
If we divide 102 by 213, we get 0 and a remainder of 102.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 102, we end up with 102.
Take the next digit (3) from the dividend and append it to 102, then repeat: 1023 / 213

Going ahead to step 4:
When dividing 1023 by 213, we get 4 with a remainder of 171.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 171 after subtracting 852 from 1023.
Take the next digit (3) from the dividend and append it to 171, then repeat: 1713 / 213

On to step 5:
When dividing 1713 by 213, we get 8 with a remainder of 9.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 1704 from 1713 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
If we divide 90 by 213, we get 0 and a remainder of 90.
Use 0 as the next digit of our solution. 
Result so far: 48.0
Subtract 0 from 90 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 7:
213 goes into 900 4 times with a remainder of 48.
The next digit of our result is 4. 
Result so far: 48.04
If we take 852 away from 900, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
If we divide 480 by 213, we get 2 and a remainder of 54.
The next digit of our result is 2. 
Result so far: 48.042
Subtracting 426 from 480 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 9:
If we divide 540 by 213, we get 2 and a remainder of 114.
The number 2 becomes the next digit in our result. 
Result so far: 48.0422
Deduct 426 from 540 and we're left with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

The quotient of the division is 48.0422, and the remainder is 0.00114.