We look at the division of 174227 by 45 
We're looking to find how many times 45 goes into 174227.

Let's proceed to step 1:
1 divided by 45 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 45

Let's proceed to step 2:
45 goes into 17 0 times with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 45

Moving on to step 3:
45 can be fit into 174 3 times, resulting in a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 135 from 174 leaves us with 39.
Fetch the next digit (2) from the dividend, attach it to 39 and continue: 392 / 45

Advancing to step 4:
The number 45 fits into 392 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 38.0
The remainder is 32 after subtracting 360 from 392.
Fetch the next digit (2) from the dividend, attach it to 32 and continue: 322 / 45

Let's proceed to step 5:
45 can be fit into 322 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 387.0
Deduct 315 from 322 and we're left with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 45

Moving on to step 6:
45 goes into 77 1 times with a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 3871.0
Deduct 45 from 77 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
45 can be fit into 320 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 3871.7
Subtract 315 from 320 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
50 divided by 45 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 3871.71
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
45 goes into 50 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 3871.711
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 3871.711 and a remainder of 0.0005.