203529 ÷ 41 
Our goal is to divide 203529 by 41.

Step 1:
41 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 41

Moving on to step 2:
20 divided by 41 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 20 and we're left with 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 41

Going ahead to step 3:
When dividing 203 by 41, we get 4 with a remainder of 39.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 164 from 203 leaves us with 39.
Grab the next digit (5) from the dividend, add it to 39, then carry on: 395 / 41

Going ahead to step 4:
41 goes into 395 9 times with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 49.0
Subtracting 369 from 395 leaves us with 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 41

Moving on to step 5:
When dividing 262 by 41, we get 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 496.0
The remainder is 16 after subtracting 246 from 262.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 41

Advancing to step 6:
41 can be fit into 169 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4964.0
If we subtract 164 from 169, 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 7:
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: 4964.1
Subtract 41 from 50 to 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.

Let's proceed to step 8:
41 can be fit into 90 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 4964.12
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
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: 4964.121
Deduct 41 from 80 and we're left 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.

Moving on to step 10:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 4964.1219
Subtracting 369 from 390 leaves us 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.

Advancing to step 11:
41 goes into 210 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4964.12195
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
The number 41 fits into 50 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 4964.121951
Subtract 41 from 50 to 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.

Let's proceed to step 13:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4964.1219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
41 goes into 80 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 4964.12195121
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 4964.12195121, and the remainder is 3.9e-08.