65523 ÷ 41 
Let's see how many times 41 fits into 65523.

Step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 41

On to step 2:
The number 41 fits into 65 1 times, leaving a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 41 from 65 and we're left with 24.
Bring next digit (5) of the dividend behind the 24 and repeat the process: 245 / 41

Advancing to step 3:
When dividing 245 by 41, we get 5 with a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 205 from 245 to get 40.
Append the next digit (2) from the dividend to 40 and continue with: 402 / 41

Advancing to step 4:
If we divide 402 by 41, we get 9 and a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
Subtracting 369 from 402 leaves us with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 41

On to step 5:
41 can be fit into 333 8 times, resulting in a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 1598.0
If we subtract 328 from 333, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1598.1
If we subtract 41 from 50, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
41 can be fit into 90 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 1598.12
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 1598.121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 9:
When dividing 390 by 41, we get 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 1598.1219
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 10:
The number 41 fits into 210 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1598.12195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1598.121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
90 divided by 41 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1598.1219512
Subtract 82 from 90 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1598.12195121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

After the division, we end up with 1598.12195121 and a remainder of 3.9e-08.