We're dividing 382666 by 53 
We want to figure out the number of times 382666 can be divided by 53.

Going ahead to step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 53

Going ahead to step 2:
53 can be fit into 38 0 times, resulting in a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Append the next digit (2) from the dividend to 38 and continue with: 382 / 53

Going ahead to step 3:
53 can be fit into 382 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 11 after subtracting 371 from 382.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 53

Advancing to step 4:
If we divide 116 by 53, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Subtracting 106 from 116 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 53

Going ahead to step 5:
53 can be fit into 106 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 722.0
Subtracting 106 from 106 leaves us with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 53

On to step 6:
When dividing 6 by 53, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 7220.0
The remainder is 6 after subtracting 0 from 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
53 can be fit into 60 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 7220.1
The remainder is 7 after subtracting 53 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
53 can be fit into 70 1 times, resulting in a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 7220.11
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.

The quotient of the division is 7220.11, and the remainder is 0.017.