We look at the division of 565066 by 51 
We're looking to find how many times 51 goes into 565066.

Let's proceed to step 1:
If we divide 5 by 51, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 51

On to step 2:
The number 51 fits into 56 1 times, leaving a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 51 from 56 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 51

On to step 3:
51 can be fit into 55 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 11.0
If we take 51 away from 55, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 51

Moving on to step 4:
51 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 110.0
Subtract 0 from 40 to get 40.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 51

Step 5:
The number 51 fits into 406 7 times, leaving a remainder of 49.
The next digit of our result is 7. 
Result so far: 1107.0
If we subtract 357 from 406, we get 49.
Bring next digit (6) of the dividend behind the 49 and repeat the process: 496 / 51

Step 6:
496 divided by 51 is 9 with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 11079.0
Subtracting 459 from 496 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
51 can be fit into 370 7 times, resulting in a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 11079.7
If we take 357 away from 370, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
51 can be fit into 130 2 times, resulting in a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 11079.72
Subtract 102 from 130 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
If we divide 280 by 51, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 11079.725
Subtracting 255 from 280 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
The number 51 fits into 250 4 times, leaving a remainder of 46.
The next digit of our result is 4. 
Result so far: 11079.7254
The remainder is 46 after subtracting 204 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 11:
460 divided by 51 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 11079.72549
Subtracting 459 from 460 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
If we divide 10 by 51, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 11079.72549
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
51 can be fit into 100 1 times, resulting in a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 11079.7254901
Subtract 51 from 100 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 14:
The number 51 fits into 490 9 times, leaving a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 11079.72549019
Deduct 459 from 490 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final outcome is 11079.72549019, with a leftover of 3.1e-08.