133101 ÷ 45 
Our goal is to divide 133101 by 45.

Moving on to step 1:
45 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 45

Moving on to step 2:
45 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 45

Going ahead to step 3:
133 divided by 45 is 2 with a remainder of 43.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 90 from 133, we get 43.
Grab the next digit (1) from the dividend, add it to 43, then carry on: 431 / 45

Going ahead to step 4:
If we divide 431 by 45, we get 9 and a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
The remainder is 26 after subtracting 405 from 431.
Bring next digit (0) of the dividend behind the 26 and repeat the process: 260 / 45

Let's proceed to step 5:
45 goes into 260 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 295.0
Subtract 225 from 260 to get 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 45

On to step 6:
45 can be fit into 351 7 times, resulting in a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 2957.0
The remainder is 36 after subtracting 315 from 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
If we divide 360 by 45, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 2957.8
Subtracting 360 from 360 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
If we divide 0 by 45, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 2957.8
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
The number 45 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 2957.8
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 2957.8, with a leftover of 0.0.