We're dividing 565709 by 51 
We want to figure out the number of times 565709 can be divided by 51.

Advancing to step 1:
If we divide 5 by 51, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 51

Step 2:
When dividing 56 by 51, we get 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 51 from 56, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 51

On to step 3:
51 goes into 55 1 times with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 51 from 55 to get 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 51

Advancing to step 4:
51 goes into 47 0 times with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 110.0
If we subtract 0 from 47, we get 47.
Append the next digit (0) from the dividend to 47 and continue with: 470 / 51

Step 5:
When dividing 470 by 51, we get 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 1109.0
If we subtract 459 from 470, we get 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 51

Let's proceed to step 6:
51 can be fit into 119 2 times, resulting in a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 11092.0
Subtracting 102 from 119 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.

Going ahead to step 7:
If we divide 170 by 51, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 11092.3
Deduct 153 from 170 and we're left 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.

On to step 8:
If we divide 170 by 51, we get 3 and a remainder of 17.
The next digit of our result is 3. 
Result so far: 11092.33
Subtracting 153 from 170 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.

In conclusion, the division gives 11092.33 with a balance of 0.017.