We look at the division of 682598 by 41 
Our goal is to divide 682598 by 41.

Let's proceed to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 41

Going ahead to step 2:
41 can be fit into 68 1 times, resulting in a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 41 from 68 to get 27.
Grab the next digit (2) from the dividend, add it to 27, then carry on: 272 / 41

On to step 3:
41 goes into 272 6 times with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 246 from 272 and we're left with 26.
Bring next digit (5) of the dividend behind the 26 and repeat the process: 265 / 41

On to step 4:
41 goes into 265 6 times with a remainder of 19.
The next digit of our result is 6. 
Result so far: 166.0
Deduct 246 from 265 and we're left with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 41

Going ahead to step 5:
41 can be fit into 199 4 times, resulting in a remainder of 35.
Use 4 as the next digit of our solution. 
Result so far: 1664.0
If we subtract 164 from 199, we get 35.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 41

Let's proceed to step 6:
The number 41 fits into 358 8 times, leaving a remainder of 30.
The next digit of our result is 8. 
Result so far: 16648.0
Deduct 328 from 358 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
When dividing 300 by 41, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 16648.7
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
If we divide 130 by 41, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 16648.73
Deduct 123 from 130 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
70 divided by 41 is 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 16648.731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 16648.7317
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
41 can be fit into 30 0 times, resulting in a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 16648.7317
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
41 can be fit into 300 7 times, resulting in a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 16648.731707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
The number 41 fits into 130 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 16648.7317073
Deduct 123 from 130 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 14:
41 goes into 70 1 times with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 16648.73170731
If we take 41 away from 70, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The quotient of the division is 16648.73170731, and the remainder is 2.9e-08.