41580193 ÷ 533 
Our goal is to divide 41580193 by 533.

On to step 1:
When dividing 4 by 533, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 533

On to step 2:
533 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (5) from the dividend to 41 and continue with: 415 / 533

Advancing to step 3:
The number 533 fits into 415 0 times, leaving a remainder of 415.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 415, we end up with 415.
Grab the next digit (8) from the dividend, add it to 415, then carry on: 4158 / 533

Going ahead to step 4:
533 can be fit into 4158 7 times, resulting in a remainder of 427.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 3731 from 4158 leaves us with 427.
Include the next digit (0) from the dividend after 427, then repeat: 4270 / 533

Step 5:
When dividing 4270 by 533, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
If we subtract 4264 from 4270, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 533

Going ahead to step 6:
61 divided by 533 is 0 with a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 780.0
If we subtract 0 from 61, we get 61.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 533

Moving on to step 7:
The number 533 fits into 619 1 times, leaving a remainder of 86.
Use 1 as the next digit of our solution. 
Result so far: 7801.0
Subtracting 533 from 619 leaves us with 86.
Bring next digit (3) of the dividend behind the 86 and repeat the process: 863 / 533

Let's proceed to step 8:
If we divide 863 by 533, we get 1 and a remainder of 330.
The number 1 becomes the next digit in our result. 
Result so far: 78011.0
If we take 533 away from 863, we end up with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Going ahead to step 9:
If we divide 3300 by 533, we get 6 and a remainder of 102.
The next digit of our result is 6. 
Result so far: 78011.6
If we take 3198 away from 3300, we end up with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Moving on to step 10:
1020 divided by 533 is 1 with a remainder of 487.
Record the quotient 1 as the next digit in the result. 
Result so far: 78011.61
If we subtract 533 from 1020, we get 487.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4870, and continue the process.

On to step 11:
4870 divided by 533 is 9 with a remainder of 73.
Put 9 as the next digit of the answer. 
Result so far: 78011.619
Subtracting 4797 from 4870 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 12:
533 can be fit into 730 1 times, resulting in a remainder of 197.
Write down 1 as next digit of the result. 
Result so far: 78011.6191
The remainder is 197 after subtracting 533 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Step 13:
The number 533 fits into 1970 3 times, leaving a remainder of 371.
The next digit of our result is 3. 
Result so far: 78011.61913
Deduct 1599 from 1970 and we're left with 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

Step 14:
3710 divided by 533 is 6 with a remainder of 512.
The number 6 becomes the next digit in our result. 
Result so far: 78011.619136
Deduct 3198 from 3710 and we're left with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Advancing to step 15:
533 can be fit into 5120 9 times, resulting in a remainder of 323.
The next digit of our result is 9. 
Result so far: 78011.6191369
The remainder is 323 after subtracting 4797 from 5120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3230, and continue the process.

On to step 16:
533 goes into 3230 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 78011.61913696
If we subtract 3198 from 3230, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 78011.61913696 with a remaining 3.2e-08.