We divide 274601 by 13
We're looking to find how many times 13 goes into 274601.

On to 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
Deduct 0 from 2 and we're left with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 13

Going ahead to step 2:
The number 13 fits into 27 2 times, leaving a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 26 from 27 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 13

Moving on to step 3:
When dividing 14 by 13, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 21.0
If we subtract 13 from 14, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 13

Let's proceed to step 4:
16 divided by 13 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 211.0
If we subtract 13 from 16, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 13

On to step 5:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2112.0
Deduct 26 from 30 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

On to step 6:
13 can be fit into 41 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 21123.0
If we take 39 away from 41, we end up 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.

Let's proceed to step 7:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 21123.1
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.

Going ahead to step 8:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 21123.15
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.

Step 9:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 21123.153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 21123.1538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 21123.15384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 21123.153846
If we subtract 78 from 80, we 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.

Going ahead to step 13:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 21123.1538461
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.

Let's proceed to step 14:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 21123.15384615
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 21123.15384615 with a remaining 5e-09.