Let's divide 334365 by 41
We want to figure out the number of times 334365 can be divided by 41.

Advancing 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
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 41

On to step 2:
If we divide 33 by 41, we get 0 and a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 41

Going ahead to step 3:
41 goes into 334 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 328 from 334 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 41

Let's proceed to step 4:
When dividing 63 by 41, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 81.0
If we take 41 away from 63, we end up with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 41

Moving on to step 5:
The number 41 fits into 226 5 times, leaving a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 815.0
Deduct 205 from 226 and we're left with 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 41

Advancing to step 6:
41 can be fit into 215 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8155.0
If we take 205 away from 215, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
The number 41 fits into 100 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 8155.2
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
If we divide 180 by 41, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 8155.24
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
The number 41 fits into 160 3 times, leaving a remainder of 37.
The next digit of our result is 3. 
Result so far: 8155.243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 10:
The number 41 fits into 370 9 times, leaving a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8155.2439
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
41 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8155.2439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
When dividing 100 by 41, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 8155.243902
Deduct 82 from 100 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
If we divide 180 by 41, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 8155.2439024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
The number 41 fits into 160 3 times, leaving a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 8155.24390243
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The quotient of the division is 8155.24390243, and the remainder is 3.7e-08.