We're dividing 17746 by 45 
We want to figure out the number of times 17746 can be divided by 45.

Let's proceed to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 45

Let's proceed to step 2:
45 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 45

On to step 3:
45 goes into 177 3 times with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 135 from 177, we get 42.
Append the next digit (4) from the dividend to 42 and continue with: 424 / 45

Let's proceed to step 4:
424 divided by 45 is 9 with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
If we take 405 away from 424, we end up with 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 45

On to step 5:
When dividing 196 by 45, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 394.0
If we take 180 away from 196, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 6:
160 divided by 45 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 394.3
The remainder is 25 after subtracting 135 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
When dividing 250 by 45, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 394.35
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 394.355
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 394.355, with a leftover of 0.0025.