We're dividing 41355594 by 523 
We want to figure out the number of times 41355594 can be divided by 523.

Step 1:
The number 523 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 523

Going ahead to step 2:
When dividing 41 by 523, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 523

On to step 3:
523 goes into 413 0 times with a remainder of 413.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 413, we get 413.
Append the next digit (5) from the dividend to 413 and continue with: 4135 / 523

On to step 4:
4135 divided by 523 is 7 with a remainder of 474.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 474 after subtracting 3661 from 4135.
Append the next digit (5) from the dividend to 474 and continue with: 4745 / 523

Let's proceed to step 5:
4745 divided by 523 is 9 with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Subtracting 4707 from 4745 leaves us with 38.
Bring next digit (5) of the dividend behind the 38 and repeat the process: 385 / 523

On to step 6:
When dividing 385 by 523, we get 0 with a remainder of 385.
Write down 0 as next digit of the result. 
Result so far: 790.0
Subtracting 0 from 385 leaves us with 385.
Take the next digit (9) from the dividend and append it to 385, then repeat: 3859 / 523

Advancing to step 7:
The number 523 fits into 3859 7 times, leaving a remainder of 198.
Put 7 as the next digit of the answer. 
Result so far: 7907.0
Subtract 3661 from 3859 to get 198.
Fetch the next digit (4) from the dividend, attach it to 198 and continue: 1984 / 523

Going ahead to step 8:
The number 523 fits into 1984 3 times, leaving a remainder of 415.
The number 3 becomes the next digit in our result. 
Result so far: 79073.0
If we take 1569 away from 1984, we end up with 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Going ahead to step 9:
4150 divided by 523 is 7 with a remainder of 489.
Record the quotient 7 as the next digit in the result. 
Result so far: 79073.7
Subtracting 3661 from 4150 leaves us with 489.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4890, and continue the process.

Going ahead to step 10:
4890 divided by 523 is 9 with a remainder of 183.
Use 9 as the next digit of our solution. 
Result so far: 79073.79
If we take 4707 away from 4890, we end up with 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1830, and continue the process.

On to step 11:
523 can be fit into 1830 3 times, resulting in a remainder of 261.
The next digit of our result is 3. 
Result so far: 79073.793
If we subtract 1569 from 1830, we get 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Moving on to step 12:
2610 divided by 523 is 4 with a remainder of 518.
The number 4 becomes the next digit in our result. 
Result so far: 79073.7934
If we take 2092 away from 2610, we end up with 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Advancing to step 13:
When dividing 5180 by 523, we get 9 with a remainder of 473.
Record the quotient 9 as the next digit in the result. 
Result so far: 79073.79349
The remainder is 473 after subtracting 4707 from 5180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4730, and continue the process.

Going ahead to step 14:
The number 523 fits into 4730 9 times, leaving a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 79073.793499
Subtracting 4707 from 4730 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final outcome is 79073.793499, with a leftover of 2.3e-06.