We're dividing 528659 by 41 
We want to divide 528659 by 41.

Moving on to step 1:
When dividing 5 by 41, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 41

Step 2:
If we divide 52 by 41, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 41 from 52 to get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 41

Step 3:
When dividing 118 by 41, we get 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 82 from 118 leaves us with 36.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 41

On to step 4:
If we divide 366 by 41, we get 8 and a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 128.0
Deduct 328 from 366 and we're left with 38.
Fetch the next digit (5) from the dividend, attach it to 38 and continue: 385 / 41

Moving on to step 5:
When dividing 385 by 41, we get 9 with a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 1289.0
Subtract 369 from 385 to get 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 41

Advancing to step 6:
41 goes into 169 4 times with a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 12894.0
The remainder is 5 after subtracting 164 from 169.
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:
If we divide 50 by 41, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 12894.1
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 goes into 90 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 12894.12
If we subtract 82 from 90, we get 8.
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 9:
41 goes into 80 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 12894.121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 10:
When dividing 390 by 41, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 12894.1219
Subtract 369 from 390 to get 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: 12894.12195
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.

On to step 12:
If we divide 50 by 41, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 12894.121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
41 goes into 90 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 12894.1219512
If we take 82 away from 90, we end up 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 14:
80 divided by 41 is 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 12894.12195121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final outcome is 12894.12195121, with a leftover of 3.9e-08.