We look at the division of 268333 by 41 
Our goal is to divide 268333 by 41.

Going ahead 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:
26 divided by 41 is 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (8) from the dividend, add it to 26, then carry on: 268 / 41

Going ahead to step 3:
268 divided by 41 is 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 246 from 268 leaves us with 22.
Grab the next digit (3) from the dividend, add it to 22, then carry on: 223 / 41

Advancing to step 4:
41 goes into 223 5 times with a remainder of 18.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtracting 205 from 223 leaves us with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 41

Let's proceed to step 5:
The number 41 fits into 183 4 times, leaving a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 654.0
The remainder is 19 after subtracting 164 from 183.
Fetch the next digit (3) from the dividend, attach it to 19 and continue: 193 / 41

Let's proceed to step 6:
The number 41 fits into 193 4 times, leaving a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 6544.0
Subtract 164 from 193 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
If we divide 290 by 41, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6544.7
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
If we divide 30 by 41, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 6544.7
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
If we divide 300 by 41, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 6544.707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
When dividing 130 by 41, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 6544.7073
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
If we divide 70 by 41, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 6544.70731
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 12:
The number 41 fits into 290 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 6544.707317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
30 divided by 41 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 6544.707317
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
300 divided by 41 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 6544.70731707
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 6544.70731707, with a leftover of 1.3e-08.