526638 ÷ 41 
We're looking to find how many times 41 goes into 526638.

On to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 41

Advancing to step 2:
If we divide 52 by 41, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 41 from 52, we get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 41

On to step 3:
When dividing 116 by 41, we get 2 with a remainder of 34.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 82 from 116 to get 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 41

Moving on to step 4:
346 divided by 41 is 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 128.0
Subtracting 328 from 346 leaves us with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 41

On to step 5:
If we divide 183 by 41, we get 4 and a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 1284.0
Subtract 164 from 183 to get 19.
Include the next digit (8) from the dividend after 19, then repeat: 198 / 41

Let's proceed to step 6:
41 can be fit into 198 4 times, resulting in a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 12844.0
Subtracting 164 from 198 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
If we divide 340 by 41, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 12844.8
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
41 goes into 120 2 times with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 12844.82
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
If we divide 380 by 41, we get 9 and a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 12844.829
Deduct 369 from 380 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 12844.8292
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
When dividing 280 by 41, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 12844.82926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 12:
When dividing 340 by 41, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 12844.829268
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
41 goes into 120 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 12844.8292682
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
41 goes into 380 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 12844.82926829
Deduct 369 from 380 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The quotient of the division is 12844.82926829, and the remainder is 1.1e-08.