1027106 ÷ 517 
We want to divide 1027106 by 517.

Going ahead to step 1:
517 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 517

On to step 2:
10 divided by 517 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 517

On to step 3:
517 can be fit into 102 0 times, resulting in a remainder of 102.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 102 to get 102.
Bring next digit (7) of the dividend behind the 102 and repeat the process: 1027 / 517

Advancing to step 4:
When dividing 1027 by 517, we get 1 with a remainder of 510.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 517 from 1027, we get 510.
Include the next digit (1) from the dividend after 510, then repeat: 5101 / 517

Advancing to step 5:
517 can be fit into 5101 9 times, resulting in a remainder of 448.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Subtracting 4653 from 5101 leaves us with 448.
Grab the next digit (0) from the dividend, add it to 448, then carry on: 4480 / 517

Advancing to step 6:
517 can be fit into 4480 8 times, resulting in a remainder of 344.
Record the quotient 8 as the next digit in the result. 
Result so far: 198.0
If we subtract 4136 from 4480, we get 344.
Fetch the next digit (6) from the dividend, attach it to 344 and continue: 3446 / 517

Let's proceed to step 7:
The number 517 fits into 3446 6 times, leaving a remainder of 344.
The next digit of our result is 6. 
Result so far: 1986.0
If we subtract 3102 from 3446, we get 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

Let's proceed to step 8:
If we divide 3440 by 517, we get 6 and a remainder of 338.
Record the quotient 6 as the next digit in the result. 
Result so far: 1986.6
If we subtract 3102 from 3440, we get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Going ahead to step 9:
517 can be fit into 3380 6 times, resulting in a remainder of 278.
The next digit of our result is 6. 
Result so far: 1986.66
Subtract 3102 from 3380 to get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

In conclusion, the division gives 1986.66 with a balance of 0.278.