268603 ÷ 26 
We're looking to find how many times 26 goes into 268603.

On to step 1:
When dividing 2 by 26, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 26

Moving on to step 2:
When dividing 26 by 26, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 26 from 26, we get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 26

Advancing to step 3:
26 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 26

Moving on to step 4:
The number 26 fits into 86 3 times, leaving a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Deduct 78 from 86 and we're left with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 26

Let's proceed to step 5:
When dividing 80 by 26, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 1033.0
Deduct 78 from 80 and we're left with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 26

On to step 6:
If we divide 23 by 26, we get 0 and a remainder of 23.
Record the quotient 0 as the next digit in the result. 
Result so far: 10330.0
The remainder is 23 after subtracting 0 from 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
When dividing 230 by 26, we get 8 with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 10330.8
The remainder is 22 after subtracting 208 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
220 divided by 26 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 10330.88
If we subtract 208 from 220, we get 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 10330.88, and the remainder is 0.012.