387759 ÷ 41 
We want to figure out the number of times 387759 can be divided by 41.

Step 1:
41 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 41

Advancing to step 2:
When dividing 38 by 41, we get 0 with a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Include the next digit (7) from the dividend after 38, then repeat: 387 / 41

Advancing to step 3:
387 divided by 41 is 9 with a remainder of 18.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 369 from 387 to get 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 41

Moving on to step 4:
41 goes into 187 4 times with a remainder of 23.
Put 4 as the next digit of the answer. 
Result so far: 94.0
Deduct 164 from 187 and we're left with 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 41

On to step 5:
The number 41 fits into 235 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 945.0
Subtract 205 from 235 to get 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 41

On to step 6:
309 divided by 41 is 7 with a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 9457.0
The remainder is 22 after subtracting 287 from 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
41 goes into 220 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 9457.5
Subtract 205 from 220 to get 15.
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 8:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 9457.53
Subtract 123 from 150 to 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 9:
270 divided by 41 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 9457.536
If we subtract 246 from 270, we 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.

Moving on to step 10:
If we divide 240 by 41, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 9457.5365
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
41 can be fit into 350 8 times, resulting in a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 9457.53658
If we take 328 away from 350, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 9457.536585
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
41 goes into 150 3 times with a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 9457.5365853
Deduct 123 from 150 and we're left 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.

On to step 14:
If we divide 270 by 41, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 9457.53658536
Subtracting 246 from 270 leaves us 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.

In conclusion, the division gives 9457.53658536 with a balance of 2.4e-08.