665311 ÷ 53 
We're looking to find how many times 53 goes into 665311.

Step 1:
When dividing 6 by 53, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 53

Step 2:
53 goes into 66 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 53 from 66, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 53

Let's proceed to step 3:
The number 53 fits into 135 2 times, leaving a remainder of 29.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 106 from 135 to get 29.
Include the next digit (3) from the dividend after 29, then repeat: 293 / 53

Going ahead to step 4:
53 can be fit into 293 5 times, resulting in a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 125.0
If we take 265 away from 293, we end up with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 53

Step 5:
53 can be fit into 281 5 times, resulting in a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 1255.0
Subtract 265 from 281 to get 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 53

Going ahead to step 6:
The number 53 fits into 161 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 12553.0
Deduct 159 from 161 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 53 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 12553.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
53 can be fit into 200 3 times, resulting in a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 12553.03
Deduct 159 from 200 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 9:
410 divided by 53 is 7 with a remainder of 39.
Record the quotient 7 as the next digit in the result. 
Result so far: 12553.037
Deduct 371 from 410 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 10:
53 goes into 390 7 times with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 12553.0377
Subtract 371 from 390 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The quotient of the division is 12553.0377, and the remainder is 0.00019.