We look at the division of 516114 by 39 
We want to divide 516114 by 39.

Moving on to step 1:
When dividing 5 by 39, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 39

Let's proceed to step 2:
If we divide 51 by 39, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 39 from 51 to get 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 39

Step 3:
If we divide 126 by 39, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 117 from 126, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 39

Step 4:
If we divide 91 by 39, we get 2 and a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 132.0
If we take 78 away from 91, we end up with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 39

Let's proceed to step 5:
39 can be fit into 131 3 times, resulting in a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 1323.0
Subtract 117 from 131 to get 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 39

On to step 6:
144 divided by 39 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 13233.0
Deduct 117 from 144 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
39 goes into 270 6 times with a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 13233.6
If we take 234 away from 270, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
When dividing 360 by 39, we get 9 with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 13233.69
Deduct 351 from 360 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
39 goes into 90 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 13233.692
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
120 divided by 39 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 13233.6923
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
The number 39 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 13233.6923
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
When dividing 300 by 39, we get 7 with a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 13233.692307
Subtract 273 from 300 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 13:
39 can be fit into 270 6 times, resulting in a remainder of 36.
Put 6 as the next digit of the answer. 
Result so far: 13233.6923076
If we take 234 away from 270, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
360 divided by 39 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 13233.69230769
The remainder is 9 after subtracting 351 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The quotient of the division is 13233.69230769, and the remainder is 9e-09.