53561 divided by 45 
We're looking to find how many times 45 goes into 53561.

Going ahead to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 45

Going ahead to step 2:
45 can be fit into 53 1 times, resulting in a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 45 from 53 to get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 45

Moving on to step 3:
45 goes into 85 1 times with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 45 from 85 to get 40.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 45

Moving on to step 4:
If we divide 406 by 45, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 119.0
If we subtract 405 from 406, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 45

Step 5:
When dividing 11 by 45, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 1190.0
The remainder is 11 after subtracting 0 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
The number 45 fits into 110 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 1190.2
Subtract 90 from 110 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 1190.24
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 45 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 1190.244
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 1190.244, with a leftover of 0.002.