We're dividing 268645 by 41 
We're looking to find how many times 41 goes into 268645.

Let's proceed to step 1:
41 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 41

Let's proceed to step 2:
When dividing 26 by 41, we get 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Bring next digit (8) of the dividend behind the 26 and repeat the process: 268 / 41

Moving on to step 3:
If we divide 268 by 41, we get 6 and a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 246 away from 268, we end up with 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 41

Let's proceed to step 4:
When dividing 226 by 41, we get 5 with a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
If we take 205 away from 226, we end up with 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 41

On to step 5:
41 can be fit into 214 5 times, resulting in a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 655.0
Deduct 205 from 214 and we're left with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 41

Let's proceed to step 6:
95 divided by 41 is 2 with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 6552.0
Subtract 82 from 95 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 6552.3
Subtracting 123 from 130 leaves us with 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 8:
70 divided by 41 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 6552.31
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 9:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 6552.317
Deduct 287 from 290 and we're left 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.

Moving on to step 10:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 6552.317
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
300 divided by 41 is 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 6552.31707
Deduct 287 from 300 and we're left 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.

Step 12:
130 divided by 41 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 6552.317073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
When dividing 70 by 41, we get 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 6552.3170731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
290 divided by 41 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 6552.31707317
Deduct 287 from 290 and we're left 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.

The quotient of the division is 6552.31707317, and the remainder is 3e-09.