Let's divide 133565 by 45
We want to divide 133565 by 45.

Moving on to step 1:
If we divide 1 by 45, we get 0 and 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.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 45

Step 2:
45 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 45

Let's proceed to step 3:
If we divide 133 by 45, we get 2 and a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 90 from 133 and we're left with 43.
Grab the next digit (5) from the dividend, add it to 43, then carry on: 435 / 45

Advancing to step 4:
435 divided by 45 is 9 with a remainder of 30.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
Subtracting 405 from 435 leaves us with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 45

Step 5:
45 goes into 306 6 times with a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 296.0
The remainder is 36 after subtracting 270 from 306.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 45

Going ahead to step 6:
45 goes into 365 8 times with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 2968.0
Deduct 360 from 365 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 2968.1
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 2968.11
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 2968.11, with a leftover of 0.005.