We're dividing 765965 by 41 
Our goal is to divide 765965 by 41.

Let's proceed to step 1:
When dividing 7 by 41, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 41

Advancing to step 2:
41 goes into 76 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 41 away from 76, we end up with 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 41

Moving on to step 3:
41 can be fit into 355 8 times, resulting in a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Deduct 328 from 355 and we're left with 27.
Fetch the next digit (9) from the dividend, attach it to 27 and continue: 279 / 41

Step 4:
279 divided by 41 is 6 with a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 186.0
The remainder is 33 after subtracting 246 from 279.
Bring next digit (6) of the dividend behind the 33 and repeat the process: 336 / 41

Going ahead to step 5:
When dividing 336 by 41, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1868.0
Subtracting 328 from 336 leaves us with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 41

Advancing to step 6:
85 divided by 41 is 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 18682.0
The remainder is 3 after subtracting 82 from 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
When dividing 30 by 41, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 18682.0
The remainder is 30 after subtracting 0 from 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 8:
If we divide 300 by 41, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 18682.07
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.

Going ahead to step 9:
When dividing 130 by 41, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 18682.073
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 18682.0731
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.

On to step 11:
When dividing 290 by 41, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 18682.07317
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.

Advancing to step 12:
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: 18682.07317
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 13:
The number 41 fits into 300 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 18682.0731707
If we take 287 away from 300, we end up 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.

On to step 14:
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: 18682.07317073
Deduct 123 from 130 and we're left 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.

After the division, we end up with 18682.07317073 and a remainder of 7e-09.