We're dividing 782688 by 41 
We want to figure out the number of times 782688 can be divided by 41.

Advancing 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
If we subtract 0 from 7, we get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 41

Going ahead to step 2:
78 divided by 41 is 1 with a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 78, we end up with 37.
Grab the next digit (2) from the dividend, add it to 37, then carry on: 372 / 41

Going ahead to step 3:
The number 41 fits into 372 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtract 369 from 372 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 41

Going ahead to step 4:
41 can be fit into 36 0 times, resulting in a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 190.0
Subtracting 0 from 36 leaves us with 36.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 41

Advancing to step 5:
41 goes into 368 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 1908.0
Subtracting 328 from 368 leaves us with 40.
Append the next digit (8) from the dividend to 40 and continue with: 408 / 41

Moving on to step 6:
41 goes into 408 9 times with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 19089.0
The remainder is 39 after subtracting 369 from 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
When dividing 390 by 41, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 19089.9
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
The number 41 fits into 210 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 19089.95
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
50 divided by 41 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 19089.951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 19089.9512
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
80 divided by 41 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 19089.95121
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 12:
If we divide 390 by 41, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 19089.951219
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
If we divide 210 by 41, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 19089.9512195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
50 divided by 41 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 19089.95121951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 19089.95121951 with a balance of 9e-09.