We look at the division of 45537 by 45 
We want to figure out the number of times 45537 can be divided by 45.

On to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 45

Moving on to step 2:
45 goes into 45 1 times with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 0 after subtracting 45 from 45.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 45

Advancing to step 3:
When dividing 5 by 45, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 5, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 45

Let's proceed to step 4:
The number 45 fits into 53 1 times, leaving a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
The remainder is 8 after subtracting 45 from 53.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 45

Going ahead to step 5:
45 goes into 87 1 times with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 1011.0
The remainder is 42 after subtracting 45 from 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 6:
If we divide 420 by 45, we get 9 and a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 1011.9
Subtract 405 from 420 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 1011.93
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
45 can be fit into 150 3 times, resulting in a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 1011.933
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 1011.933, with a leftover of 0.0015.