459116 ÷ 45 
Our goal is to divide 459116 by 45.

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
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 45

Moving on to step 2:
45 goes into 45 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 0 after subtracting 45 from 45.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 45

On to step 3:
45 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 45

Advancing to step 4:
91 divided by 45 is 2 with a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
If we subtract 90 from 91, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 45

Step 5:
45 goes into 11 0 times with a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 1020.0
Deduct 0 from 11 and we're left with 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 45

Let's proceed to step 6:
When dividing 116 by 45, we get 2 with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 10202.0
The remainder is 26 after subtracting 90 from 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
If we divide 260 by 45, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10202.5
The remainder is 35 after subtracting 225 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 10202.57
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
If we divide 350 by 45, we get 7 and a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 10202.577
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.

The final result is 10202.577 with a remainder of 0.0035.