We're dividing 300315 by 41 
We want to figure out the number of times 300315 can be divided by 41.

Step 1:
41 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 41

Step 2:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Fetch the next digit (0) from the dividend, attach it to 30 and continue: 300 / 41

Step 3:
When dividing 300 by 41, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 13 after subtracting 287 from 300.
Append the next digit (3) from the dividend to 13 and continue with: 133 / 41

Step 4:
When dividing 133 by 41, we get 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Deduct 123 from 133 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 41

Going ahead to step 5:
41 can be fit into 101 2 times, resulting in a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 732.0
If we subtract 82 from 101, we get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 41

Step 6:
When dividing 195 by 41, we get 4 with a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 7324.0
Subtract 164 from 195 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 41 fits into 310 7 times, leaving a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 7324.7
Deduct 287 from 310 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 8:
41 can be fit into 230 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7324.75
Deduct 205 from 230 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
When dividing 250 by 41, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 7324.756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
If we divide 40 by 41, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 7324.756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
41 goes into 400 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 7324.75609
If we subtract 369 from 400, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 12:
41 can be fit into 310 7 times, resulting in a remainder of 23.
The next digit of our result is 7. 
Result so far: 7324.756097
Subtracting 287 from 310 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 13:
The number 41 fits into 230 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7324.7560975
If we subtract 205 from 230, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
41 can be fit into 250 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 7324.75609756
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 7324.75609756 with a remainder of 4e-09.