14084 divided by 51 
We want to figure out the number of times 14084 can be divided by 51.

On to step 1:
51 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 51

Step 2:
51 can be fit into 14 0 times, resulting in a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 51

On to step 3:
51 can be fit into 140 2 times, resulting in a remainder of 38.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 38 after subtracting 102 from 140.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 51

Going ahead to step 4:
The number 51 fits into 388 7 times, leaving a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Subtract 357 from 388 to get 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 51

Going ahead to step 5:
51 can be fit into 314 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 276.0
Subtract 306 from 314 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 6:
If we divide 80 by 51, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 276.1
Deduct 51 from 80 and we're left with 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 7:
The number 51 fits into 290 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 276.15
If we take 255 away from 290, 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 8:
51 goes into 350 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 276.156
Subtracting 306 from 350 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 9:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 276.1568
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
51 goes into 320 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 276.15686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
The number 51 fits into 140 2 times, leaving a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 276.156862
Subtracting 102 from 140 leaves us 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.

Advancing to step 12:
If we divide 380 by 51, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 276.1568627
If we take 357 away from 380, 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.

Let's proceed to step 13:
If we divide 230 by 51, we get 4 and a remainder of 26.
The next digit of our result is 4. 
Result so far: 276.15686274
If we take 204 away from 230, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 276.15686274, and the remainder is 2.6e-08.