We look at the division of 334598 by 41 
We want to divide 334598 by 41.

Step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 41

Let's proceed to step 2:
41 can be fit into 33 0 times, resulting in a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 41

On to step 3:
When dividing 334 by 41, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 328 from 334 and we're left with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 41

On to step 4:
When dividing 65 by 41, we get 1 with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Subtract 41 from 65 to get 24.
Fetch the next digit (9) from the dividend, attach it to 24 and continue: 249 / 41

Step 5:
If we divide 249 by 41, we get 6 and a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 816.0
The remainder is 3 after subtracting 246 from 249.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 41

Step 6:
41 can be fit into 38 0 times, resulting in a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 8160.0
Deduct 0 from 38 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
If we divide 380 by 41, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 8160.9
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
The number 41 fits into 110 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 8160.92
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
41 goes into 280 6 times with a remainder of 34.
The next digit of our result is 6. 
Result so far: 8160.926
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 8160.9268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
41 goes into 120 2 times with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 8160.92682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
41 goes into 380 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 8160.926829
The remainder is 11 after subtracting 369 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
41 can be fit into 110 2 times, resulting in a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 8160.9268292
Subtracting 82 from 110 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 14:
41 goes into 280 6 times with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 8160.92682926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 8160.92682926, with a leftover of 3.4e-08.