We look at the division of 35271 by 53 
We're looking to find how many times 53 goes into 35271.

Moving on to step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 53

Let's proceed to step 2:
If we divide 35 by 53, we get 0 and a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 35, we end up with 35.
Include the next digit (2) from the dividend after 35, then repeat: 352 / 53

On to step 3:
53 can be fit into 352 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 34 after subtracting 318 from 352.
Fetch the next digit (7) from the dividend, attach it to 34 and continue: 347 / 53

Step 4:
347 divided by 53 is 6 with a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we take 318 away from 347, we end up with 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 53

Step 5:
When dividing 291 by 53, we get 5 with a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 665.0
Subtract 265 from 291 to get 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 6:
53 can be fit into 260 4 times, resulting in a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 665.4
The remainder is 48 after subtracting 212 from 260.
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 7:
The number 53 fits into 480 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 665.49
Subtract 477 from 480 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
30 divided by 53 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 665.49
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
300 divided by 53 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 665.4905
If we subtract 265 from 300, we get 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 10:
If we divide 350 by 53, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 665.49056
If we take 318 away from 350, we end up 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.

On to step 11:
53 can be fit into 320 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 665.490566
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.

The final outcome is 665.490566, with a leftover of 2e-07.