We divide 254758 by 45
We want to divide 254758 by 45.

Advancing to step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 45

Advancing to step 2:
If we divide 25 by 45, we get 0 and a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 45

Advancing to step 3:
The number 45 fits into 254 5 times, leaving a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 29 after subtracting 225 from 254.
Take the next digit (7) from the dividend and append it to 29, then repeat: 297 / 45

Going ahead to step 4:
297 divided by 45 is 6 with a remainder of 27.
The next digit of our result is 6. 
Result so far: 56.0
The remainder is 27 after subtracting 270 from 297.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 45

Moving on to step 5:
If we divide 275 by 45, we get 6 and a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 566.0
Deduct 270 from 275 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 45

Going ahead to step 6:
45 goes into 58 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 5661.0
If we subtract 45 from 58, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 45, we get 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 5661.2
The remainder is 40 after subtracting 90 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed 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: 5661.28
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.

Step 9:
45 can be fit into 400 8 times, resulting in a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 5661.288
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.

The quotient of the division is 5661.288, and the remainder is 0.004.