514289 ÷ 39 
We want to figure out the number of times 514289 can be divided by 39.

On to step 1:
5 divided by 39 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 39

Moving on to step 2:
39 goes into 51 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 39 from 51, we get 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 39

Advancing to step 3:
39 goes into 124 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 117 from 124, we get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 39

On to step 4:
The number 39 fits into 72 1 times, leaving a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
If we subtract 39 from 72, we get 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 39

Going ahead to step 5:
338 divided by 39 is 8 with a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 1318.0
Subtract 312 from 338 to get 26.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 39

Moving on to step 6:
The number 39 fits into 269 6 times, leaving a remainder of 35.
The next digit of our result is 6. 
Result so far: 13186.0
If we take 234 away from 269, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
39 goes into 350 8 times with a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 13186.8
If we subtract 312 from 350, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 8:
380 divided by 39 is 9 with a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 13186.89
Subtract 351 from 380 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 9:
If we divide 290 by 39, we get 7 and a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 13186.897
Subtracting 273 from 290 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 10:
If we divide 170 by 39, we get 4 and a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 13186.8974
Subtract 156 from 170 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
The number 39 fits into 140 3 times, leaving a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 13186.89743
If we take 117 away from 140, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
39 can be fit into 230 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 13186.897435
Subtract 195 from 230 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
39 can be fit into 350 8 times, resulting in a remainder of 38.
The next digit of our result is 8. 
Result so far: 13186.8974358
Deduct 312 from 350 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
380 divided by 39 is 9 with a remainder of 29.
Put 9 as the next digit of the answer. 
Result so far: 13186.89743589
If we subtract 351 from 380, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 13186.89743589 with a remainder of 2.9e-08.