153300 divided by 45 
We're looking to find how many times 45 goes into 153300.

Going ahead to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 45

Advancing to step 2:
If we divide 15 by 45, we get 0 and a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Bring next digit (3) of the dividend behind the 15 and repeat the process: 153 / 45

On to step 3:
45 goes into 153 3 times with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 135 away from 153, we end up with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 45

On to step 4:
If we divide 183 by 45, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 34.0
The remainder is 3 after subtracting 180 from 183.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 45

Advancing to step 5:
When dividing 30 by 45, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 340.0
If we take 0 away from 30, we end up with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 45

Going ahead to step 6:
45 can be fit into 300 6 times, resulting in a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 3406.0
If we subtract 270 from 300, 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.

Moving on to step 7:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 3406.6
Deduct 270 from 300 and we're left 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.

Moving on to step 8:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 3406.66
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 3406.66 and a remainder of 0.03.