We look at the division of 684242 by 41 
Our goal is to divide 684242 by 41.

Advancing to step 1:
If we divide 6 by 41, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 41

Going ahead to step 2:
When dividing 68 by 41, we get 1 with a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 68 and we're left with 27.
Include the next digit (4) from the dividend after 27, then repeat: 274 / 41

Step 3:
The number 41 fits into 274 6 times, leaving a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 246 from 274, we get 28.
Grab the next digit (2) from the dividend, add it to 28, then carry on: 282 / 41

Let's proceed to step 4:
If we divide 282 by 41, we get 6 and a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 166.0
Deduct 246 from 282 and we're left with 36.
Include the next digit (4) from the dividend after 36, then repeat: 364 / 41

Let's proceed to step 5:
If we divide 364 by 41, we get 8 and a remainder of 36.
The next digit of our result is 8. 
Result so far: 1668.0
Deduct 328 from 364 and we're left with 36.
Bring next digit (2) of the dividend behind the 36 and repeat the process: 362 / 41

Moving on to step 6:
41 goes into 362 8 times with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 16688.0
If we take 328 away from 362, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
41 goes into 340 8 times with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 16688.8
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 16688.82
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
When dividing 380 by 41, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 16688.829
The remainder is 11 after subtracting 369 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
If we divide 110 by 41, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 16688.8292
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
When dividing 280 by 41, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 16688.82926
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 12:
340 divided by 41 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 16688.829268
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
When dividing 120 by 41, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 16688.8292682
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
41 can be fit into 380 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 16688.82926829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 16688.82926829 with a remainder of 1.1e-08.