542628 divided by 45 
Our goal is to divide 542628 by 45.

Moving on to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 45

On to step 2:
When dividing 54 by 45, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 54, we end up with 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 45

On to step 3:
45 can be fit into 92 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 90 away from 92, we end up with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 45

Let's proceed to step 4:
45 goes into 26 0 times with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 120.0
Subtract 0 from 26 to get 26.
Take the next digit (2) from the dividend and append it to 26, then repeat: 262 / 45

Step 5:
45 goes into 262 5 times with a remainder of 37.
The number 5 becomes the next digit in our result. 
Result so far: 1205.0
Subtract 225 from 262 to get 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 45

On to step 6:
378 divided by 45 is 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 12058.0
Subtracting 360 from 378 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
45 goes into 180 4 times with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 12058.4
If we subtract 180 from 180, 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.

Advancing to step 8:
45 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 12058.4
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.

Moving on to step 9:
45 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 12058.4
Deduct 0 from 0 and we're left with 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 quotient of the division is 12058.4, and the remainder is 0.0.