We divide 14635 by 26
We're looking to find how many times 26 goes into 14635.

Going ahead to step 1:
26 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 26

Going ahead to step 2:
If we divide 14 by 26, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 26

Step 3:
26 goes into 146 5 times with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 130 from 146, we get 16.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 26

Moving on to step 4:
163 divided by 26 is 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 56.0
Subtracting 156 from 163 leaves us with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 26

Step 5:
26 goes into 75 2 times with a remainder of 23.
The next digit of our result is 2. 
Result so far: 562.0
Deduct 52 from 75 and we're left with 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 6:
230 divided by 26 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 562.8
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 7:
220 divided by 26 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 562.88
If we take 208 away from 220, we end up 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 562.88, and the remainder is 0.012.