We look at the division of 765301 by 41 
Our goal is to divide 765301 by 41.

On to step 1:
41 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 41

On to step 2:
76 divided by 41 is 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 41 from 76 and we're left with 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 41

Let's proceed to step 3:
If we divide 355 by 41, we get 8 and a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Deduct 328 from 355 and we're left with 27.
Append the next digit (3) from the dividend to 27 and continue with: 273 / 41

Going ahead to step 4:
273 divided by 41 is 6 with a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 186.0
Subtract 246 from 273 to get 27.
Take the next digit (0) from the dividend and append it to 27, then repeat: 270 / 41

On to step 5:
41 can be fit into 270 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 1866.0
The remainder is 24 after subtracting 246 from 270.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 41

On to step 6:
The number 41 fits into 241 5 times, leaving a remainder of 36.
Write down 5 as next digit of the result. 
Result so far: 18665.0
Deduct 205 from 241 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 7:
41 goes into 360 8 times with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 18665.8
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
41 can be fit into 320 7 times, resulting in a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 18665.87
If we take 287 away from 320, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 9:
When dividing 330 by 41, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 18665.878
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 41, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 18665.878
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
If we divide 200 by 41, we get 4 and a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 18665.87804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
When dividing 360 by 41, we get 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 18665.878048
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
If we divide 320 by 41, we get 7 and a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 18665.8780487
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 14:
The number 41 fits into 330 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 18665.87804878
If we subtract 328 from 330, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 18665.87804878 with a balance of 2e-09.