Let's divide 12588 by 33
We want to divide 12588 by 33.

Going ahead to step 1:
33 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 33

Let's proceed to step 2:
The number 33 fits into 12 0 times, leaving a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 33

Step 3:
The number 33 fits into 125 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 99 from 125, we get 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 33

Advancing to step 4:
33 goes into 268 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Subtracting 264 from 268 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 33

Going ahead to step 5:
The number 33 fits into 48 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 381.0
Subtracting 33 from 48 leaves us 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.

Going ahead to step 6:
150 divided by 33 is 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 381.4
Deduct 132 from 150 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
When dividing 180 by 33, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 381.45
If we subtract 165 from 180, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
When dividing 150 by 33, we get 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 381.454
If we subtract 132 from 150, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
33 can be fit into 180 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 381.4545
The remainder is 15 after subtracting 165 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
If we divide 150 by 33, we get 4 and a remainder of 18.
The next digit of our result is 4. 
Result so far: 381.45454
If we take 132 away from 150, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
33 goes into 180 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 381.454545
The remainder is 15 after subtracting 165 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
When dividing 150 by 33, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 381.4545454
Subtract 132 from 150 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
33 can be fit into 180 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 381.45454545
The remainder is 15 after subtracting 165 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 381.45454545 with a balance of 1.5e-08.