Let's divide 113133 by 45
We're looking to find how many times 45 goes into 113133.

Going ahead to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 45

On to step 2:
11 divided by 45 is 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 45

Moving on to step 3:
The number 45 fits into 113 2 times, leaving a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 23 after subtracting 90 from 113.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 45

Advancing to step 4:
If we divide 231 by 45, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtracting 225 from 231 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 45

On to step 5:
If we divide 63 by 45, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 251.0
Deduct 45 from 63 and we're left with 18.
Bring next digit (3) of the dividend behind the 18 and repeat the process: 183 / 45

On to step 6:
183 divided by 45 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 2514.0
Subtracting 180 from 183 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 7:
The number 45 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 2514.0
Subtract 0 from 30 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.

Going ahead to step 8:
300 divided by 45 is 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 2514.06
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.

Let's proceed to step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 2514.066
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.

After the division, we end up with 2514.066 and a remainder of 0.003.