We look at the division of 14137775 by 516 
We want to figure out the number of times 14137775 can be divided by 516.

On to step 1:
When dividing 1 by 516, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 516

Advancing to step 2:
14 divided by 516 is 0 with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 14 leaves us with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 516

Going ahead to step 3:
516 goes into 141 0 times with a remainder of 141.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 141 after subtracting 0 from 141.
Append the next digit (3) from the dividend to 141 and continue with: 1413 / 516

Going ahead to step 4:
516 can be fit into 1413 2 times, resulting in a remainder of 381.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 1032 from 1413, we get 381.
Take the next digit (7) from the dividend and append it to 381, then repeat: 3817 / 516

Advancing to step 5:
If we divide 3817 by 516, we get 7 and a remainder of 205.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
The remainder is 205 after subtracting 3612 from 3817.
Include the next digit (7) from the dividend after 205, then repeat: 2057 / 516

Going ahead to step 6:
The number 516 fits into 2057 3 times, leaving a remainder of 509.
Write down 3 as next digit of the result. 
Result so far: 273.0
Subtract 1548 from 2057 to get 509.
Take the next digit (7) from the dividend and append it to 509, then repeat: 5097 / 516

Advancing to step 7:
When dividing 5097 by 516, we get 9 with a remainder of 453.
Use 9 as the next digit of our solution. 
Result so far: 2739.0
Subtracting 4644 from 5097 leaves us with 453.
Grab the next digit (5) from the dividend, add it to 453, then carry on: 4535 / 516

Let's proceed to step 8:
The number 516 fits into 4535 8 times, leaving a remainder of 407.
Write down 8 as next digit of the result. 
Result so far: 27398.0
If we subtract 4128 from 4535, we get 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Moving on to step 9:
The number 516 fits into 4070 7 times, leaving a remainder of 458.
The next digit of our result is 7. 
Result so far: 27398.7
If we subtract 3612 from 4070, we get 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

On to step 10:
If we divide 4580 by 516, we get 8 and a remainder of 452.
Put 8 as the next digit of the answer. 
Result so far: 27398.78
Deduct 4128 from 4580 and we're left with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Let's proceed to step 11:
If we divide 4520 by 516, we get 8 and a remainder of 392.
The next digit of our result is 8. 
Result so far: 27398.788
Subtract 4128 from 4520 to get 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

The final result is 27398.788 with a remainder of 0.0392.