Let's divide 498177 by 45
Our goal is to divide 498177 by 45.

On to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 45

On to step 2:
45 goes into 49 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 45 from 49 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 45

Step 3:
If we divide 48 by 45, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 45 from 48, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 45

Let's proceed to step 4:
45 can be fit into 31 0 times, resulting in a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
If we subtract 0 from 31, we get 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 45

On to step 5:
45 goes into 317 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 1107.0
Subtracting 315 from 317 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 45

Advancing to step 6:
45 goes into 27 0 times with a remainder of 27.
The next digit of our result is 0. 
Result so far: 11070.0
Deduct 0 from 27 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
270 divided by 45 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 11070.6
Subtract 270 from 270 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
45 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 11070.6
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 45 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 11070.6
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 11070.6 with a remainder of 0.0.