We look at the division of 358338 by 26 
We're looking to find how many times 26 goes into 358338.

Going ahead to step 1:
The number 26 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 26

Going ahead to step 2:
If we divide 35 by 26, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 26 from 35, we get 9.
Fetch the next digit (8) from the dividend, attach it to 9 and continue: 98 / 26

Moving on to step 3:
98 divided by 26 is 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 78 from 98 to get 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 26

On to step 4:
203 divided by 26 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
Deduct 182 from 203 and we're left with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 26

Moving on to step 5:
26 can be fit into 213 8 times, resulting in a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 1378.0
If we subtract 208 from 213, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 26

Going ahead to step 6:
58 divided by 26 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 13782.0
If we subtract 52 from 58, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
The number 26 fits into 60 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 13782.2
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
When dividing 80 by 26, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 13782.23
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
When dividing 20 by 26, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 13782.23
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
If we divide 200 by 26, we get 7 and a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 13782.2307
Subtract 182 from 200 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
The number 26 fits into 180 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 13782.23076
If we take 156 away from 180, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
26 can be fit into 240 9 times, resulting in a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 13782.230769
If we take 234 away from 240, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
26 can be fit into 60 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 13782.2307692
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 26 fits into 80 3 times, leaving a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 13782.23076923
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 13782.23076923 with a remaining 2e-09.