565487 ÷ 41 
Our goal is to divide 565487 by 41.

On to step 1:
5 divided by 41 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 41

Advancing to step 2:
When dividing 56 by 41, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 41 from 56 to get 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 41

On to step 3:
If we divide 155 by 41, we get 3 and a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 123 from 155 and we're left with 32.
Append the next digit (4) from the dividend to 32 and continue with: 324 / 41

Going ahead to step 4:
41 can be fit into 324 7 times, resulting in a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 137.0
Subtract 287 from 324 to get 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 41

Advancing to step 5:
378 divided by 41 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 1379.0
Subtract 369 from 378 to get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 41

On to step 6:
41 can be fit into 97 2 times, resulting in a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 13792.0
Deduct 82 from 97 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.

Let's proceed to step 7:
41 can be fit into 150 3 times, resulting in a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 13792.3
Subtract 123 from 150 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
If we divide 270 by 41, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 13792.36
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 9:
When dividing 240 by 41, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 13792.365
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.

Advancing to step 10:
41 can be fit into 350 8 times, resulting in a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 13792.3658
If we take 328 away from 350, 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.

On to step 11:
41 can be fit into 220 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 13792.36585
If we subtract 205 from 220, we get 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 12:
41 goes into 150 3 times with a remainder of 27.
The next digit of our result is 3. 
Result so far: 13792.365853
If we subtract 123 from 150, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 13:
If we divide 270 by 41, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 13792.3658536
Deduct 246 from 270 and we're left 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.

On to step 14:
41 can be fit into 240 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 13792.36585365
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.

The quotient of the division is 13792.36585365, and the remainder is 3.5e-08.