We look at the division of 565828 by 66 
We want to divide 565828 by 66.

Step 1:
66 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
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 / 66

Step 2:
66 goes into 56 0 times with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Bring next digit (5) of the dividend behind the 56 and repeat the process: 565 / 66

Advancing to step 3:
The number 66 fits into 565 8 times, leaving a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 528 from 565 and we're left with 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 66

Going ahead to step 4:
378 divided by 66 is 5 with a remainder of 48.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 330 from 378 leaves us with 48.
Bring next digit (2) of the dividend behind the 48 and repeat the process: 482 / 66

Moving on to step 5:
66 can be fit into 482 7 times, resulting in a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 857.0
Subtracting 462 from 482 leaves us with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 66

Let's proceed to step 6:
66 can be fit into 208 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 8573.0
Subtracting 198 from 208 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
The number 66 fits into 100 1 times, leaving a remainder of 34.
The next digit of our result is 1. 
Result so far: 8573.1
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
The number 66 fits into 340 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 8573.15
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
The number 66 fits into 100 1 times, leaving a remainder of 34.
The next digit of our result is 1. 
Result so far: 8573.151
Deduct 66 from 100 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
If we divide 340 by 66, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 8573.1515
If we subtract 330 from 340, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
66 can be fit into 100 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 8573.15151
The remainder is 34 after subtracting 66 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 12:
When dividing 340 by 66, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8573.151515
Subtracting 330 from 340 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
If we divide 100 by 66, we get 1 and a remainder of 34.
The next digit of our result is 1. 
Result so far: 8573.1515151
If we subtract 66 from 100, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
66 goes into 340 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8573.15151515
Subtract 330 from 340 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 8573.15151515 with a remaining 1e-08.