33888 divided by 45 
We're looking to find how many times 45 goes into 33888.

On to step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 45

On to step 2:
If we divide 33 by 45, we get 0 and a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 45

Step 3:
If we divide 338 by 45, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 315 from 338 leaves us with 23.
Take the next digit (8) from the dividend and append it to 23, then repeat: 238 / 45

Going ahead to step 4:
45 goes into 238 5 times with a remainder of 13.
The next digit of our result is 5. 
Result so far: 75.0
Subtracting 225 from 238 leaves us with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 45

Advancing to step 5:
138 divided by 45 is 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 753.0
Subtracting 135 from 138 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
If we divide 30 by 45, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 753.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
If we divide 300 by 45, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 753.06
Subtract 270 from 300 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 753.066
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 753.066, with a leftover of 0.003.