We divide 275129 by 13
We're looking to find how many times 13 goes into 275129.

On to step 1:
The number 13 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

Advancing to step 2:
13 goes into 27 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 26 from 27 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 13

Advancing to step 3:
The number 13 fits into 15 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtract 13 from 15 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Let's proceed to step 4:
13 can be fit into 21 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 211.0
Subtracting 13 from 21 leaves us with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 13

Let's proceed to step 5:
13 goes into 82 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2116.0
Deduct 78 from 82 and we're left with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 13

Advancing to step 6:
The number 13 fits into 49 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 21163.0
Deduct 39 from 49 and we're left 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.

Step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 21163.7
If we take 91 away from 100, we end up 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.

On to step 8:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 21163.76
If we subtract 78 from 90, we 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.

Advancing to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 21163.769
The remainder is 3 after subtracting 117 from 120.
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 10:
13 goes into 30 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 21163.7692
Deduct 26 from 30 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.

On to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 21163.76923
Subtract 39 from 40 to 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 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 21163.76923
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
If we divide 100 by 13, we get 7 and a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 21163.7692307
Deduct 91 from 100 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.

Let's proceed to step 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 21163.76923076
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.

The quotient of the division is 21163.76923076, and the remainder is 1.2e-08.