301727 ÷ 26 
We're looking to find how many times 26 goes into 301727.

On to step 1:
When dividing 3 by 26, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 26

On to step 2:
The number 26 fits into 30 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
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 / 26

Let's proceed to step 3:
When dividing 41 by 26, we get 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we subtract 26 from 41, we get 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 26

Step 4:
When dividing 157 by 26, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
If we subtract 156 from 157, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 26

Going ahead to step 5:
If we divide 12 by 26, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 1160.0
If we take 0 away from 12, we end up with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 26

Moving on to step 6:
When dividing 127 by 26, we get 4 with a remainder of 23.
Record the quotient 4 as the next digit in the result. 
Result so far: 11604.0
If we subtract 104 from 127, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
When dividing 230 by 26, we get 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 11604.8
Subtracting 208 from 230 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
The number 26 fits into 220 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 11604.88
Deduct 208 from 220 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 11604.88, and the remainder is 0.012.