174382 ÷ 53 
Our goal is to divide 174382 by 53.

Step 1:
1 divided by 53 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 53

On to step 2:
When dividing 17 by 53, we get 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 53

Advancing to step 3:
When dividing 174 by 53, we get 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 159 from 174, we get 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 53

Step 4:
53 goes into 153 2 times with a remainder of 47.
Write down 2 as next digit of the result. 
Result so far: 32.0
If we take 106 away from 153, we end up with 47.
Grab the next digit (8) from the dividend, add it to 47, then carry on: 478 / 53

Going ahead to step 5:
If we divide 478 by 53, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 329.0
Deduct 477 from 478 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 53

On to step 6:
12 divided by 53 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 3290.0
If we take 0 away from 12, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
If we divide 120 by 53, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 3290.2
The remainder is 14 after subtracting 106 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
53 can be fit into 140 2 times, resulting in a remainder of 34.
The next digit of our result is 2. 
Result so far: 3290.22
Subtract 106 from 140 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 3290.22 and a remainder of 0.034.