We look at the division of 173574 by 53 
We're looking to find how many times 53 goes into 173574.

Step 1:
53 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 53

Going ahead to step 2:
When dividing 17 by 53, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 53

Let's proceed to step 3:
53 can be fit into 173 3 times, resulting in a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 159 from 173 and we're left with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 53

Step 4:
53 goes into 145 2 times with a remainder of 39.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Deduct 106 from 145 and we're left with 39.
Include the next digit (7) from the dividend after 39, then repeat: 397 / 53

On to step 5:
If we divide 397 by 53, we get 7 and a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 327.0
Subtract 371 from 397 to get 26.
Fetch the next digit (4) from the dividend, attach it to 26 and continue: 264 / 53

Advancing to step 6:
The number 53 fits into 264 4 times, leaving a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 3274.0
The remainder is 52 after subtracting 212 from 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 7:
The number 53 fits into 520 9 times, leaving a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 3274.9
If we take 477 away from 520, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 8:
430 divided by 53 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 3274.98
The remainder is 6 after subtracting 424 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
The number 53 fits into 60 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 3274.981
If we subtract 53 from 60, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 10:
53 goes into 70 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 3274.9811
Subtracting 53 from 70 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 3274.9811 and a remainder of 0.00017.