Let's divide 10408 by 45
We're looking to find how many times 45 goes into 10408.

Moving on to step 1:
45 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 45

Moving on to step 2:
45 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 45

Moving on to step 3:
When dividing 104 by 45, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 90 from 104 to get 14.
Take the next digit (0) from the dividend and append it to 14, then repeat: 140 / 45

On to step 4:
If we divide 140 by 45, we get 3 and a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 23.0
The remainder is 5 after subtracting 135 from 140.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 45

Step 5:
The number 45 fits into 58 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 231.0
The remainder is 13 after subtracting 45 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
When dividing 130 by 45, we get 2 with a remainder of 40.
The next digit of our result is 2. 
Result so far: 231.2
Subtract 90 from 130 to 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.

Advancing to step 7:
400 divided by 45 is 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 231.28
If we take 360 away from 400, we end up 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.

Advancing to step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 231.288
Subtracting 360 from 400 leaves us 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.

Our division results in 231.288 with a remaining 0.004.