We divide 667582 by 53
We're looking to find how many times 53 goes into 667582.

Advancing to 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
Subtracting 0 from 6 leaves us with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 53

Moving on to step 2:
If we divide 66 by 53, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 53 from 66 leaves us with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 53

On to step 3:
When dividing 137 by 53, we get 2 with a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 31 after subtracting 106 from 137.
Fetch the next digit (5) from the dividend, attach it to 31 and continue: 315 / 53

Moving on to step 4:
53 goes into 315 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Deduct 265 from 315 and we're left with 50.
Fetch the next digit (8) from the dividend, attach it to 50 and continue: 508 / 53

Let's proceed to step 5:
53 can be fit into 508 9 times, resulting in a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 1259.0
Subtracting 477 from 508 leaves us with 31.
Include the next digit (2) from the dividend after 31, then repeat: 312 / 53

Going ahead to step 6:
53 can be fit into 312 5 times, resulting in a remainder of 47.
Write down 5 as next digit of the result. 
Result so far: 12595.0
The remainder is 47 after subtracting 265 from 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
470 divided by 53 is 8 with a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 12595.8
The remainder is 46 after subtracting 424 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 8:
If we divide 460 by 53, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 12595.88
If we subtract 424 from 460, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 12595.88 and a remainder of 0.036.