We're dividing 130961 by 51 
Our goal is to divide 130961 by 51.

On to step 1:
If we divide 1 by 51, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 51

Moving on to step 2:
When dividing 13 by 51, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 51

Advancing to step 3:
If we divide 130 by 51, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 2.0
If we take 102 away from 130, we end up with 28.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 51

On to step 4:
51 can be fit into 289 5 times, resulting in a remainder of 34.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
The remainder is 34 after subtracting 255 from 289.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 51

Let's proceed to step 5:
51 goes into 346 6 times with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 256.0
Deduct 306 from 346 and we're left with 40.
Take the next digit (1) from the dividend and append it to 40, then repeat: 401 / 51

On to step 6:
When dividing 401 by 51, we get 7 with a remainder of 44.
Write down 7 as next digit of the result. 
Result so far: 2567.0
Subtract 357 from 401 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
440 divided by 51 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 2567.8
The remainder is 32 after subtracting 408 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
51 can be fit into 320 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 2567.86
Subtract 306 from 320 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.

Advancing to step 9:
51 goes into 140 2 times with a remainder of 38.
The next digit of our result is 2. 
Result so far: 2567.862
Subtract 102 from 140 to 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.

Advancing to step 10:
51 goes into 380 7 times with a remainder of 23.
The next digit of our result is 7. 
Result so far: 2567.8627
If we subtract 357 from 380, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
51 can be fit into 230 4 times, resulting in a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 2567.86274
The remainder is 26 after subtracting 204 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
51 can be fit into 260 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 2567.862745
If we subtract 255 from 260, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
51 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 2567.862745
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
The number 51 fits into 500 9 times, leaving a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 2567.86274509
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final result is 2567.86274509 with a remainder of 4.1e-08.