48355 ÷ 45 
We're looking to find how many times 45 goes into 48355.

Advancing to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 45

Going ahead to step 2:
The number 45 fits into 48 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 3 after subtracting 45 from 48.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 45

Let's proceed to step 3:
When dividing 33 by 45, we get 0 with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 33 after subtracting 0 from 33.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 45

Let's proceed to step 4:
45 can be fit into 335 7 times, resulting in a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 107.0
If we subtract 315 from 335, we get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 45

Let's proceed to step 5:
If we divide 205 by 45, we get 4 and a remainder of 25.
Write down 4 as next digit of the result. 
Result so far: 1074.0
If we subtract 180 from 205, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 6:
The number 45 fits into 250 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 1074.5
Subtract 225 from 250 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
If we divide 250 by 45, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1074.55
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 1074.55 with a remainder of 0.025.