We're dividing 768109 by 41 
Our goal is to divide 768109 by 41.

On to step 1:
7 divided by 41 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 41

Let's proceed to step 2:
When dividing 76 by 41, we get 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 35 after subtracting 41 from 76.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 41

On to step 3:
41 goes into 358 8 times with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we subtract 328 from 358, we get 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 41

On to step 4:
301 divided by 41 is 7 with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 187.0
Deduct 287 from 301 and we're left with 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 41

Advancing to step 5:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 1873.0
Subtracting 123 from 140 leaves us with 17.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 41

Step 6:
The number 41 fits into 179 4 times, leaving a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 18734.0
The remainder is 15 after subtracting 164 from 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 18734.3
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
41 can be fit into 270 6 times, resulting in a remainder of 24.
The next digit of our result is 6. 
Result so far: 18734.36
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
240 divided by 41 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 18734.365
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
If we divide 350 by 41, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 18734.3658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 18734.36585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 18734.365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 13:
41 can be fit into 270 6 times, resulting in a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 18734.3658536
Subtract 246 from 270 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
The number 41 fits into 240 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 18734.36585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 18734.36585365 with a balance of 3.5e-08.