We look at the division of 131683 by 51 
We want to figure out the number of times 131683 can be divided by 51.

Going ahead to step 1:
When dividing 1 by 51, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 51

Let's proceed to step 2:
If we divide 13 by 51, we get 0 and a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 51

Advancing to step 3:
When dividing 131 by 51, we get 2 with a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 102 from 131 and we're left with 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 51

Advancing to step 4:
296 divided by 51 is 5 with a remainder of 41.
Use 5 as the next digit of our solution. 
Result so far: 25.0
If we subtract 255 from 296, we get 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 51

Let's proceed to step 5:
418 divided by 51 is 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 258.0
Deduct 408 from 418 and we're left with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 51

On to step 6:
The number 51 fits into 103 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 2582.0
If we subtract 102 from 103, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 51 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 2582.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
51 goes into 100 1 times with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 2582.01
If we subtract 51 from 100, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 9:
The number 51 fits into 490 9 times, leaving a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 2582.019
If we take 459 away from 490, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 10:
When dividing 310 by 51, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2582.0196
Deduct 306 from 310 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
40 divided by 51 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2582.0196
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
If we divide 400 by 51, we get 7 and a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 2582.019607
The remainder is 43 after subtracting 357 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 13:
If we divide 430 by 51, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 2582.0196078
Subtract 408 from 430 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 14:
The number 51 fits into 220 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 2582.01960784
If we take 204 away from 220, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 2582.01960784 with a remaining 1.6e-08.