We look at the division of 26557 by 38 
We want to divide 26557 by 38.

Going ahead to step 1:
38 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 38

Moving on to step 2:
26 divided by 38 is 0 with a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 38

Step 3:
When dividing 265 by 38, we get 6 with a remainder of 37.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 228 from 265 leaves us with 37.
Include the next digit (5) from the dividend after 37, then repeat: 375 / 38

On to step 4:
When dividing 375 by 38, we get 9 with a remainder of 33.
The next digit of our result is 9. 
Result so far: 69.0
If we subtract 342 from 375, we get 33.
Fetch the next digit (7) from the dividend, attach it to 33 and continue: 337 / 38

Advancing to step 5:
The number 38 fits into 337 8 times, leaving a remainder of 33.
Record the quotient 8 as the next digit in the result. 
Result so far: 698.0
The remainder is 33 after subtracting 304 from 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 6:
330 divided by 38 is 8 with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 698.8
Deduct 304 from 330 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
38 goes into 260 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 698.86
Subtracting 228 from 260 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
320 divided by 38 is 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 698.868
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
160 divided by 38 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 698.8684
Subtract 152 from 160 to get 8.
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 10:
38 goes into 80 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 698.86842
If we subtract 76 from 80, we get 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:
When dividing 40 by 38, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 698.868421
If we take 38 away from 40, we end up 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.

On to step 12:
20 divided by 38 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 698.868421
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
When dividing 200 by 38, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 698.86842105
Subtracting 190 from 200 leaves us 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.

After the division, we end up with 698.86842105 and a remainder of 1e-08.