Let's divide 17746 by 26
We want to figure out the number of times 17746 can be divided by 26.

Moving on to step 1:
When dividing 1 by 26, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 26

On to step 2:
If we divide 17 by 26, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 26

Advancing to step 3:
When dividing 177 by 26, we get 6 with a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 156 away from 177, we end up with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 26

Advancing to step 4:
When dividing 214 by 26, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 208 from 214 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 26

Going ahead to step 5:
26 goes into 66 2 times with a remainder of 14.
The next digit of our result is 2. 
Result so far: 682.0
If we subtract 52 from 66, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 682.5
If we subtract 130 from 140, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 26, we get 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 682.53
If we subtract 78 from 100, we get 22.
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.
The number 8 becomes the next digit in our result. 
Result so far: 682.538
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
26 goes into 120 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 682.5384
If we subtract 104 from 120, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
The number 26 fits into 160 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 682.53846
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
The number 26 fits into 40 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 682.538461
The remainder is 14 after subtracting 26 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
If we divide 140 by 26, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 682.5384615
If we subtract 130 from 140, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
If we divide 100 by 26, we get 3 and a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 682.53846153
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

After the division, we end up with 682.53846153 and a remainder of 2.2e-08.