We're dividing 359387 by 41 
We want to figure out the number of times 359387 can be divided by 41.

Going ahead 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
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 41

Step 2:
35 divided by 41 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 41

Let's proceed to step 3:
When dividing 359 by 41, we get 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 328 away from 359, we end up with 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 41

Advancing to step 4:
When dividing 313 by 41, we get 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 87.0
Subtract 287 from 313 to get 26.
Include the next digit (8) from the dividend after 26, then repeat: 268 / 41

Going ahead to step 5:
41 can be fit into 268 6 times, resulting in a remainder of 22.
The next digit of our result is 6. 
Result so far: 876.0
Deduct 246 from 268 and we're left with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 41

Step 6:
When dividing 227 by 41, we get 5 with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 8765.0
If we take 205 away from 227, we end up 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.

Moving on to step 7:
When dividing 220 by 41, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 8765.5
Deduct 205 from 220 and we're left 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.

On to step 8:
If we divide 150 by 41, we get 3 and a remainder of 27.
The next digit of our result is 3. 
Result so far: 8765.53
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.

Advancing to step 9:
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: 8765.536
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
41 goes into 240 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 8765.5365
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.

Going ahead to step 11:
350 divided by 41 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 8765.53658
Subtract 328 from 350 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
If we divide 220 by 41, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 8765.536585
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.

On to step 13:
The number 41 fits into 150 3 times, leaving a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 8765.5365853
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.

Moving on to step 14:
The number 41 fits into 270 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 8765.53658536
Subtracting 246 from 270 leaves us 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.

In conclusion, the division gives 8765.53658536 with a balance of 2.4e-08.