We're dividing 276603 by 13 
Our goal is to divide 276603 by 13.

Moving on to step 1:
13 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 13

Step 2:
13 can be fit into 27 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 26 from 27 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Step 3:
The number 13 fits into 16 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we subtract 13 from 16, we get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Step 4:
When dividing 36 by 13, we get 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 212.0
Subtracting 26 from 36 leaves us with 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 13

On to step 5:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 2127.0
If we take 91 away from 100, we end up with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 13

Going ahead to step 6:
When dividing 93 by 13, we get 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 21277.0
Deduct 91 from 93 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 21277.1
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 21277.15
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 21277.153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 21277.1538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 21277.15384
Subtract 52 from 60 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.

Advancing to step 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 21277.153846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 21277.1538461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21277.15384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 21277.15384615 with a remaining 5e-09.