Let's divide 680729 by 41
Our goal is to divide 680729 by 41.

Let's proceed to step 1:
41 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 41

Step 2:
41 goes into 68 1 times with a remainder of 27.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 41 from 68 leaves us with 27.
Append the next digit (0) from the dividend to 27 and continue with: 270 / 41

Step 3:
270 divided by 41 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 246 from 270, we get 24.
Include the next digit (7) from the dividend after 24, then repeat: 247 / 41

Advancing to step 4:
If we divide 247 by 41, we get 6 and a remainder of 1.
The next digit of our result is 6. 
Result so far: 166.0
If we take 246 away from 247, we end up with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 41

Advancing to step 5:
41 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 1660.0
Subtracting 0 from 12 leaves us with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 41

Advancing to step 6:
41 can be fit into 129 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 16603.0
The remainder is 6 after subtracting 123 from 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 16603.1
Deduct 41 from 60 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 8:
When dividing 190 by 41, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 16603.14
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 9:
41 can be fit into 260 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 16603.146
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
When dividing 140 by 41, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 16603.1463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
When dividing 170 by 41, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 16603.14634
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
When dividing 60 by 41, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 16603.146341
The remainder is 19 after subtracting 41 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 16603.1463414
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 14:
260 divided by 41 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 16603.14634146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 16603.14634146 with a balance of 1.4e-08.