We're dividing 10781007 by 566 
Our goal is to divide 10781007 by 566.

Let's proceed to step 1:
The number 566 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 566

Moving on to step 2:
566 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 566

Let's proceed to step 3:
When dividing 107 by 566, we get 0 with a remainder of 107.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 107 after subtracting 0 from 107.
Include the next digit (8) from the dividend after 107, then repeat: 1078 / 566

Moving on to step 4:
566 can be fit into 1078 1 times, resulting in a remainder of 512.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 566 from 1078 leaves us with 512.
Take the next digit (1) from the dividend and append it to 512, then repeat: 5121 / 566

Moving on to step 5:
When dividing 5121 by 566, we get 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 5094 away from 5121, we end up with 27.
Append the next digit (0) from the dividend to 27 and continue with: 270 / 566

On to step 6:
566 goes into 270 0 times with a remainder of 270.
Put 0 as the next digit of the answer. 
Result so far: 190.0
Subtracting 0 from 270 leaves us with 270.
Bring next digit (0) of the dividend behind the 270 and repeat the process: 2700 / 566

On to step 7:
The number 566 fits into 2700 4 times, leaving a remainder of 436.
The number 4 becomes the next digit in our result. 
Result so far: 1904.0
If we take 2264 away from 2700, we end up with 436.
Bring next digit (7) of the dividend behind the 436 and repeat the process: 4367 / 566

Advancing to step 8:
When dividing 4367 by 566, we get 7 with a remainder of 405.
The next digit of our result is 7. 
Result so far: 19047.0
Subtracting 3962 from 4367 leaves us with 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Going ahead to step 9:
If we divide 4050 by 566, we get 7 and a remainder of 88.
The next digit of our result is 7. 
Result so far: 19047.7
Deduct 3962 from 4050 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 10:
566 can be fit into 880 1 times, resulting in a remainder of 314.
Use 1 as the next digit of our solution. 
Result so far: 19047.71
The remainder is 314 after subtracting 566 from 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

On to step 11:
566 can be fit into 3140 5 times, resulting in a remainder of 310.
The next digit of our result is 5. 
Result so far: 19047.715
If we take 2830 away from 3140, we end up with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

On to step 12:
If we divide 3100 by 566, we get 5 and a remainder of 270.
Record the quotient 5 as the next digit in the result. 
Result so far: 19047.7155
Subtract 2830 from 3100 to get 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

After the division, we end up with 19047.7155 and a remainder of 0.0027.