We're dividing 460345 by 45 
Our goal is to divide 460345 by 45.

Going ahead to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 45

On to step 2:
The number 45 fits into 46 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 46, we end up with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 45

On to step 3:
The number 45 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 45

Let's proceed to step 4:
45 can be fit into 103 2 times, resulting in a remainder of 13.
The next digit of our result is 2. 
Result so far: 102.0
The remainder is 13 after subtracting 90 from 103.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 45

On to step 5:
45 can be fit into 134 2 times, resulting in a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 1022.0
Subtracting 90 from 134 leaves us with 44.
Grab the next digit (5) from the dividend, add it to 44, then carry on: 445 / 45

Moving on to step 6:
When dividing 445 by 45, we get 9 with a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 10229.0
If we subtract 405 from 445, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 10229.8
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 10229.88
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 10229.88 with a remaining 0.04.