We look at the division of 174666 by 53 
We want to figure out the number of times 174666 can be divided by 53.

Going ahead to step 1:
1 divided by 53 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 53

On to step 2:
17 divided by 53 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 53

Let's proceed to step 3:
If we divide 174 by 53, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 159 from 174, we get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 53

Moving on to step 4:
53 can be fit into 156 2 times, resulting in a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 32.0
If we take 106 away from 156, we end up with 50.
Bring next digit (6) of the dividend behind the 50 and repeat the process: 506 / 53

Moving on to step 5:
506 divided by 53 is 9 with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 329.0
The remainder is 29 after subtracting 477 from 506.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 53

Let's proceed to step 6:
53 can be fit into 296 5 times, resulting in a remainder of 31.
The next digit of our result is 5. 
Result so far: 3295.0
Subtracting 265 from 296 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
If we divide 310 by 53, we get 5 and a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 3295.5
If we subtract 265 from 310, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
53 can be fit into 450 8 times, resulting in a remainder of 26.
The next digit of our result is 8. 
Result so far: 3295.58
If we take 424 away from 450, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
53 can be fit into 260 4 times, resulting in a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 3295.584
Deduct 212 from 260 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
If we divide 480 by 53, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 3295.5849
Subtracting 477 from 480 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
53 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 3295.5849
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
53 can be fit into 300 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 3295.584905
If we take 265 away from 300, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 13:
53 goes into 350 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 3295.5849056
Subtract 318 from 350 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
When dividing 320 by 53, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 3295.58490566
The remainder is 2 after subtracting 318 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 3295.58490566 with a balance of 2e-09.