112553 ÷ 45 
Let's see how many times 45 fits into 112553.

Going ahead to step 1:
1 divided by 45 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 45

Advancing to step 2:
The number 45 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 45

Step 3:
When dividing 112 by 45, we get 2 with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 90 from 112, we get 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 45

Step 4:
When dividing 225 by 45, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we take 225 away from 225, we end up with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 45

Step 5:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 250.0
If we take 0 away from 5, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 45

Moving on to step 6:
53 divided by 45 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 2501.0
Subtracting 45 from 53 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
When dividing 80 by 45, we get 1 with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 2501.1
Subtract 45 from 80 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
45 goes into 350 7 times with a remainder of 35.
The next digit of our result is 7. 
Result so far: 2501.17
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
45 goes into 350 7 times with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 2501.177
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 2501.177 with a balance of 0.0035.