We look at the division of 274199 by 26 
We want to divide 274199 by 26.

Advancing to step 1:
26 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 26

Let's proceed to step 2:
27 divided by 26 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 26 from 27 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 26

Let's proceed to step 3:
If we divide 14 by 26, we get 0 and a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 14 after subtracting 0 from 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 26

Moving on to step 4:
26 goes into 141 5 times with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtract 130 from 141 to get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 26

Step 5:
26 goes into 119 4 times with a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 1054.0
Subtracting 104 from 119 leaves us with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 26

Advancing to step 6:
26 can be fit into 159 6 times, resulting in a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 10546.0
Subtracting 156 from 159 leaves us with 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 7:
30 divided by 26 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 10546.1
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
26 can be fit into 40 1 times, resulting in a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 10546.11
Subtracting 26 from 40 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 10546.11, and the remainder is 0.014.