We're dividing 338742 by 26 
Let's see how many times 26 fits into 338742.

Moving on to step 1:
26 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 26

Step 2:
26 goes into 33 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 7 after subtracting 26 from 33.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 26

On to step 3:
If we divide 78 by 26, we get 3 and a remainder of 0.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 78 from 78, we get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 26

Going ahead to step 4:
26 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 130.0
Subtract 0 from 7 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 26

Moving on to step 5:
26 goes into 74 2 times with a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 1302.0
The remainder is 22 after subtracting 52 from 74.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 26

Advancing to step 6:
26 can be fit into 222 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 13028.0
The remainder is 14 after subtracting 208 from 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 26, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13028.5
Deduct 130 from 140 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 26 is 3 with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 13028.53
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.

On to step 9:
26 can be fit into 220 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 13028.538
Subtracting 208 from 220 leaves us 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.

Advancing to step 10:
26 can be fit into 120 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 13028.5384
Subtract 104 from 120 to 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.

Moving on to step 11:
When dividing 160 by 26, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 13028.53846
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.

Moving on to step 12:
40 divided by 26 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 13028.538461
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.

Step 13:
26 goes into 140 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13028.5384615
If we take 130 away from 140, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
26 can be fit into 100 3 times, resulting in a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 13028.53846153
Subtracting 78 from 100 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.

Our division results in 13028.53846153 with a remaining 2.2e-08.