We're dividing 319768 by 41 
We're looking to find how many times 41 goes into 319768.

Advancing to step 1:
The number 41 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 41

Going ahead to step 2:
31 divided by 41 is 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Append the next digit (9) from the dividend to 31 and continue with: 319 / 41

Going ahead to step 3:
319 divided by 41 is 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 287 away from 319, we end up with 32.
Fetch the next digit (7) from the dividend, attach it to 32 and continue: 327 / 41

On to step 4:
When dividing 327 by 41, we get 7 with a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
Subtracting 287 from 327 leaves us with 40.
Include the next digit (6) from the dividend after 40, then repeat: 406 / 41

Advancing to step 5:
41 can be fit into 406 9 times, resulting in a remainder of 37.
The number 9 becomes the next digit in our result. 
Result so far: 779.0
Subtract 369 from 406 to get 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 41

Moving on to step 6:
41 goes into 378 9 times with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 7799.0
Deduct 369 from 378 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
90 divided by 41 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 7799.2
Subtract 82 from 90 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 41, we get 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 7799.21
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
390 divided by 41 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 7799.219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
41 goes into 210 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7799.2195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
41 goes into 50 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 7799.21951
The remainder is 9 after subtracting 41 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7799.219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
80 divided by 41 is 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 7799.2195121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 14:
If we divide 390 by 41, we get 9 and a remainder of 21.
The next digit of our result is 9. 
Result so far: 7799.21951219
Deduct 369 from 390 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 7799.21951219 with a remainder of 2.1e-08.