We're dividing 274302 by 13 
We want to divide 274302 by 13.

Step 1:
13 can be fit into 2 0 times, resulting in 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.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

Moving on to step 2:
13 goes into 27 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 1 after subtracting 26 from 27.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 13

Advancing to step 3:
13 can be fit into 14 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtract 13 from 14 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 13

Step 4:
13 goes into 13 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 211.0
If we subtract 13 from 13, we get 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 13

On to step 5:
13 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2110.0
Subtract 0 from 0 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 13

Moving on to step 6:
If we divide 2 by 13, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 21100.0
Deduct 0 from 2 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.

On to step 7:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 21100.1
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 21100.15
If we take 65 away from 70, we end up 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.

Going ahead to step 9:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 21100.153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 21100.1538
If we take 104 away from 110, we end up 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.

Let's proceed to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 21100.15384
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.

Moving on to step 12:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 21100.153846
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.
Record the quotient 1 as the next digit in the result. 
Result so far: 21100.1538461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 14:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21100.15384615
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.

Our division results in 21100.15384615 with a remaining 5e-09.