787969 ÷ 41 
Our goal is to divide 787969 by 41.

Let's proceed to step 1:
The number 41 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
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

Let's proceed to step 2:
If we divide 78 by 41, we get 1 and a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 41 from 78 to get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 41

Moving on to step 3:
377 divided by 41 is 9 with a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtract 369 from 377 to get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 41

Advancing to step 4:
When dividing 89 by 41, we get 2 with a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 192.0
Subtracting 82 from 89 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 41

Step 5:
The number 41 fits into 76 1 times, leaving a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 1921.0
Deduct 41 from 76 and we're left with 35.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 41

Moving on to step 6:
359 divided by 41 is 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 19218.0
Subtracting 328 from 359 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
If we divide 310 by 41, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 19218.7
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
When dividing 230 by 41, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 19218.75
Subtracting 205 from 230 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
250 divided by 41 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 19218.756
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
If we divide 40 by 41, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 19218.756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
400 divided by 41 is 9 with a remainder of 31.
The next digit of our result is 9. 
Result so far: 19218.75609
If we subtract 369 from 400, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 12:
If we divide 310 by 41, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 19218.756097
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 13:
The number 41 fits into 230 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 19218.7560975
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 14:
250 divided by 41 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 19218.75609756
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 19218.75609756, with a leftover of 4e-09.