679729 divided by 41 
We want to figure out the number of times 679729 can be divided by 41.

Advancing to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 41

Moving on to step 2:
41 can be fit into 67 1 times, resulting in a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 41 away from 67, we end up with 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 41

Advancing to step 3:
If we divide 269 by 41, we get 6 and a remainder of 23.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 246 away from 269, we end up with 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 41

Going ahead to step 4:
41 can be fit into 237 5 times, resulting in a remainder of 32.
Put 5 as the next digit of the answer. 
Result so far: 165.0
The remainder is 32 after subtracting 205 from 237.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 41

Let's proceed to step 5:
41 goes into 322 7 times with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 1657.0
If we subtract 287 from 322, we get 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 41

Step 6:
If we divide 359 by 41, we get 8 and a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 16578.0
If we subtract 328 from 359, 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.

Advancing to step 7:
The number 41 fits into 310 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 16578.7
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
When dividing 230 by 41, we get 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 16578.75
If we subtract 205 from 230, we 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.

Going ahead to step 9:
41 can be fit into 250 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 16578.756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
41 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 16578.756
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
When dividing 400 by 41, we get 9 with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 16578.75609
Subtract 369 from 400 to 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:
The number 41 fits into 310 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 16578.756097
If we take 287 away from 310, we end up 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.

Advancing to step 13:
If we divide 230 by 41, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 16578.7560975
If we subtract 205 from 230, we 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.

Step 14:
250 divided by 41 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 16578.75609756
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.

In conclusion, the division gives 16578.75609756 with a balance of 4e-09.