We look at the division of 300360 by 41 
Our goal is to divide 300360 by 41.

On to step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 41

Advancing to step 2:
When dividing 30 by 41, we get 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 41

On to step 3:
If we divide 300 by 41, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 287 from 300, we get 13.
Bring next digit (3) of the dividend behind the 13 and repeat the process: 133 / 41

Step 4:
41 can be fit into 133 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 73.0
Subtracting 123 from 133 leaves us with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 41

Let's proceed to step 5:
If we divide 106 by 41, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 732.0
If we take 82 away from 106, we end up with 24.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 41

On to step 6:
If we divide 240 by 41, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 7325.0
If we take 205 away from 240, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
When dividing 350 by 41, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 7325.8
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
The number 41 fits into 220 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 7325.85
If we subtract 205 from 220, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
If we divide 150 by 41, we get 3 and a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 7325.853
If we take 123 away from 150, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 10:
When dividing 270 by 41, we get 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 7325.8536
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
240 divided by 41 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 7325.85365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
41 goes into 350 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 7325.853658
The remainder is 22 after subtracting 328 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
41 can be fit into 220 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 7325.8536585
Subtracting 205 from 220 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 14:
41 can be fit into 150 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 7325.85365853
Deduct 123 from 150 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 7325.85365853 and a remainder of 2.7e-08.