782831 ÷ 41 
Our goal is to divide 782831 by 41.

Advancing 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
The remainder is 7 after subtracting 0 from 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 41

Advancing to step 2:
When dividing 78 by 41, we get 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 78, we get 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 41

Going ahead to step 3:
If we divide 372 by 41, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 19.0
Subtracting 369 from 372 leaves us with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 41

Let's proceed to step 4:
38 divided by 41 is 0 with a remainder of 38.
The next digit of our result is 0. 
Result so far: 190.0
Deduct 0 from 38 and we're left with 38.
Grab the next digit (3) from the dividend, add it to 38, then carry on: 383 / 41

Advancing to step 5:
383 divided by 41 is 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 1909.0
Deduct 369 from 383 and we're left with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 41

Let's proceed to step 6:
The number 41 fits into 141 3 times, leaving a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 19093.0
Subtract 123 from 141 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
When dividing 180 by 41, we get 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 19093.4
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
41 can be fit into 160 3 times, resulting in a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 19093.43
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
The number 41 fits into 370 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 19093.439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
If we divide 10 by 41, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 19093.439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
41 goes into 100 2 times with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 19093.43902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 12:
The number 41 fits into 180 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 19093.439024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 13:
41 goes into 160 3 times with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 19093.4390243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 14:
If we divide 370 by 41, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 19093.43902439
Deduct 369 from 370 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 19093.43902439, and the remainder is 1e-09.