Let's divide 680122 by 41
We're looking to find how many times 41 goes into 680122.

Going ahead to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
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

Going ahead to step 2:
41 can be fit into 68 1 times, resulting in a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 68, we get 27.
Fetch the next digit (0) from the dividend, attach it to 27 and continue: 270 / 41

On to step 3:
270 divided by 41 is 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtract 246 from 270 to get 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 41

Going ahead to step 4:
241 divided by 41 is 5 with a remainder of 36.
The next digit of our result is 5. 
Result so far: 165.0
If we subtract 205 from 241, we get 36.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 41

On to step 5:
When dividing 362 by 41, we get 8 with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 1658.0
If we subtract 328 from 362, we get 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 41

Moving on to step 6:
41 goes into 342 8 times with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 16588.0
If we subtract 328 from 342, 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.

Going ahead to step 7:
If we divide 140 by 41, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 16588.3
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 8:
41 can be fit into 170 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 16588.34
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.

Let's proceed to step 9:
41 can be fit into 60 1 times, resulting in a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 16588.341
Subtracting 41 from 60 leaves us 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.

Moving on to step 10:
If we divide 190 by 41, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 16588.3414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
41 goes into 260 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 16588.34146
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.

Advancing to step 12:
41 can be fit into 140 3 times, resulting in a remainder of 17.
The next digit of our result is 3. 
Result so far: 16588.341463
Subtracting 123 from 140 leaves us 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 13:
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: 16588.3414634
The remainder is 6 after subtracting 164 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 14:
The number 41 fits into 60 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 16588.34146341
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.

The final result is 16588.34146341 with a remainder of 1.9e-08.