We're dividing 350415 by 41 
We're looking to find how many times 41 goes into 350415.

Moving on to step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 41

On to step 2:
When dividing 35 by 41, we get 0 with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 41

Step 3:
The number 41 fits into 350 8 times, leaving a remainder of 22.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 328 from 350 leaves us with 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 41

On to step 4:
When dividing 224 by 41, we get 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtract 205 from 224 to get 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 41

Let's proceed to step 5:
When dividing 191 by 41, we get 4 with a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 854.0
If we take 164 away from 191, we end up with 27.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 41

Going ahead to step 6:
If we divide 275 by 41, we get 6 and a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 8546.0
Deduct 246 from 275 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
290 divided by 41 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 8546.7
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
30 divided by 41 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 8546.7
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
300 divided by 41 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 8546.707
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
The number 41 fits into 130 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 8546.7073
If we take 123 away from 130, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 8546.70731
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
If we divide 290 by 41, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 8546.707317
Subtracting 287 from 290 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
30 divided by 41 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 8546.707317
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 8546.70731707
The remainder is 13 after subtracting 287 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 8546.70731707 and a remainder of 1.3e-08.