We look at the division of 11306427 by 517 
We're looking to find how many times 517 goes into 11306427.

Step 1:
If we divide 1 by 517, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 517

Step 2:
When dividing 11 by 517, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 517

Let's proceed to step 3:
517 goes into 113 0 times with a remainder of 113.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 113 to get 113.
Append the next digit (0) from the dividend to 113 and continue with: 1130 / 517

On to step 4:
517 can be fit into 1130 2 times, resulting in a remainder of 96.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 1034 from 1130 leaves us with 96.
Bring next digit (6) of the dividend behind the 96 and repeat the process: 966 / 517

Let's proceed to step 5:
517 can be fit into 966 1 times, resulting in a remainder of 449.
Use 1 as the next digit of our solution. 
Result so far: 21.0
If we take 517 away from 966, we end up with 449.
Append the next digit (4) from the dividend to 449 and continue with: 4494 / 517

Moving on to step 6:
4494 divided by 517 is 8 with a remainder of 358.
Record the quotient 8 as the next digit in the result. 
Result so far: 218.0
The remainder is 358 after subtracting 4136 from 4494.
Append the next digit (2) from the dividend to 358 and continue with: 3582 / 517

Let's proceed to step 7:
When dividing 3582 by 517, we get 6 with a remainder of 480.
Record the quotient 6 as the next digit in the result. 
Result so far: 2186.0
If we subtract 3102 from 3582, we get 480.
Fetch the next digit (7) from the dividend, attach it to 480 and continue: 4807 / 517

Advancing to step 8:
When dividing 4807 by 517, we get 9 with a remainder of 154.
The number 9 becomes the next digit in our result. 
Result so far: 21869.0
If we take 4653 away from 4807, we end up with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Step 9:
517 goes into 1540 2 times with a remainder of 506.
The number 2 becomes the next digit in our result. 
Result so far: 21869.2
If we take 1034 away from 1540, we end up with 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

On to step 10:
517 can be fit into 5060 9 times, resulting in a remainder of 407.
Use 9 as the next digit of our solution. 
Result so far: 21869.29
Subtracting 4653 from 5060 leaves us with 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Let's proceed to step 11:
The number 517 fits into 4070 7 times, leaving a remainder of 451.
Write down 7 as next digit of the result. 
Result so far: 21869.297
Deduct 3619 from 4070 and we're left with 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

On to step 12:
If we divide 4510 by 517, we get 8 and a remainder of 374.
The number 8 becomes the next digit in our result. 
Result so far: 21869.2978
If we subtract 4136 from 4510, we get 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Step 13:
When dividing 3740 by 517, we get 7 with a remainder of 121.
Record the quotient 7 as the next digit in the result. 
Result so far: 21869.29787
Subtract 3619 from 3740 to get 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Let's proceed to step 14:
517 can be fit into 1210 2 times, resulting in a remainder of 176.
Use 2 as the next digit of our solution. 
Result so far: 21869.297872
Subtract 1034 from 1210 to get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Going ahead to step 15:
When dividing 1760 by 517, we get 3 with a remainder of 209.
Use 3 as the next digit of our solution. 
Result so far: 21869.2978723
The remainder is 209 after subtracting 1551 from 1760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Going ahead to step 16:
If we divide 2090 by 517, we get 4 and a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 21869.29787234
If we take 2068 away from 2090, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 21869.29787234 and a remainder of 2.2e-08.