We're dividing 566461 by 53 
We want to figure out the number of times 566461 can be divided by 53.

Moving on to step 1:
When dividing 5 by 53, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 53

Moving on to step 2:
53 goes into 56 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 53 away from 56, we end up with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 53

Going ahead to step 3:
53 can be fit into 36 0 times, resulting in a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 36 leaves us with 36.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 53

Step 4:
53 goes into 364 6 times with a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
Deduct 318 from 364 and we're left with 46.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 53

Let's proceed to step 5:
53 goes into 466 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 1068.0
Subtracting 424 from 466 leaves us with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 53

Advancing to step 6:
421 divided by 53 is 7 with a remainder of 50.
Write down 7 as next digit of the result. 
Result so far: 10687.0
Subtracting 371 from 421 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
500 divided by 53 is 9 with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 10687.9
If we subtract 477 from 500, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 8:
53 goes into 230 4 times with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 10687.94
If we subtract 212 from 230, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
If we divide 180 by 53, we get 3 and a remainder of 21.
The next digit of our result is 3. 
Result so far: 10687.943
Deduct 159 from 180 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
210 divided by 53 is 3 with a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 10687.9433
Subtracting 159 from 210 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 10687.9433 with a balance of 0.00051.