We look at the division of 268280 by 41 
We want to divide 268280 by 41.

Let's proceed to step 1:
The number 41 fits into 2 0 times, leaving 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.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 41

Step 2:
41 can be fit into 26 0 times, resulting in a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Append the next digit (8) from the dividend to 26 and continue with: 268 / 41

Step 3:
If we divide 268 by 41, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 246 from 268 to get 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 41

Going ahead to step 4:
The number 41 fits into 222 5 times, leaving a remainder of 17.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
If we take 205 away from 222, we end up with 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 41

Going ahead to step 5:
41 goes into 178 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 654.0
Subtracting 164 from 178 leaves us with 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 41

On to step 6:
41 goes into 140 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 6543.0
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
The number 41 fits into 170 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 6543.4
Subtracting 164 from 170 leaves us 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.

Going ahead to step 8:
41 can be fit into 60 1 times, resulting in a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 6543.41
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
190 divided by 41 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 6543.414
If we take 164 away from 190, we end up 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.

Let's proceed to step 10:
260 divided by 41 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6543.4146
If we take 246 away from 260, we end up 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.

Advancing to step 11:
140 divided by 41 is 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 6543.41463
Subtract 123 from 140 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
170 divided by 41 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 6543.414634
Subtract 164 from 170 to 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.

Step 13:
60 divided by 41 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 6543.4146341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 14:
If we divide 190 by 41, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 6543.41463414
Deduct 164 from 190 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.

After the division, we end up with 6543.41463414 and a remainder of 2.6e-08.