261769 ÷ 41 
We're looking to find how many times 41 goes into 261769.

Going ahead to step 1:
The number 41 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 41

Going ahead to step 2:
41 goes into 26 0 times with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Bring next digit (1) of the dividend behind the 26 and repeat the process: 261 / 41

On to step 3:
261 divided by 41 is 6 with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 246 away from 261, we end up with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 41

Let's proceed to step 4:
If we divide 157 by 41, we get 3 and a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Subtract 123 from 157 to get 34.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 41

Going ahead to step 5:
41 goes into 346 8 times with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 638.0
Subtracting 328 from 346 leaves us with 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 41

Moving on to step 6:
When dividing 189 by 41, we get 4 with a remainder of 25.
The next digit of our result is 4. 
Result so far: 6384.0
If we subtract 164 from 189, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6384.6
Subtract 246 from 250 to 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 8:
40 divided by 41 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6384.6
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
If we divide 400 by 41, we get 9 and a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 6384.609
Deduct 369 from 400 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 10:
If we divide 310 by 41, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 6384.6097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 11:
41 goes into 230 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6384.60975
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
When dividing 250 by 41, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 6384.609756
Deduct 246 from 250 and we're left with 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 13:
40 divided by 41 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 6384.609756
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 14:
If we divide 400 by 41, we get 9 and a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 6384.60975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 6384.60975609 with a remainder of 3.1e-08.