We're dividing 275558 by 13 
We're looking to find how many times 13 goes into 275558.

Let's proceed to step 1:
13 goes into 2 0 times with 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.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 13

On to step 2:
27 divided by 13 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 26 from 27 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 13

Step 3:
15 divided by 13 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we subtract 13 from 15, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 13

Moving on to step 4:
25 divided by 13 is 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 211.0
If we take 13 away from 25, we end up with 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 13

Moving on to step 5:
125 divided by 13 is 9 with a remainder of 8.
The next digit of our result is 9. 
Result so far: 2119.0
Subtracting 117 from 125 leaves us with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 13

Let's proceed to step 6:
88 divided by 13 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 21196.0
Subtracting 78 from 88 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.

Let's proceed to step 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 21196.7
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 21196.76
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.

Step 9:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 21196.769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 21196.7692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 21196.76923
If we subtract 39 from 40, 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.

Step 12:
13 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 21196.76923
The remainder is 10 after subtracting 0 from 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 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 21196.7692307
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.

Advancing to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 21196.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 21196.76923076 with a remainder of 1.2e-08.