We look at the division of 524337 by 41 
Our goal is to divide 524337 by 41.

On to step 1:
41 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 41

Step 2:
41 can be fit into 52 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 41 from 52 leaves us with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 41

Step 3:
41 can be fit into 114 2 times, resulting in a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 82 from 114 and we're left with 32.
Bring next digit (3) of the dividend behind the 32 and repeat the process: 323 / 41

Advancing to step 4:
If we divide 323 by 41, we get 7 and a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
Subtract 287 from 323 to get 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 41

Moving on to step 5:
41 can be fit into 363 8 times, resulting in a remainder of 35.
Put 8 as the next digit of the answer. 
Result so far: 1278.0
If we take 328 away from 363, we end up with 35.
Append the next digit (7) from the dividend to 35 and continue with: 357 / 41

Advancing to step 6:
357 divided by 41 is 8 with a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 12788.0
If we subtract 328 from 357, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
If we divide 290 by 41, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 12788.7
If we take 287 away from 290, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
41 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 12788.7
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
The number 41 fits into 300 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 12788.707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
When dividing 130 by 41, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 12788.7073
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 11:
41 can be fit into 70 1 times, resulting in a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 12788.70731
Subtract 41 from 70 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
When dividing 290 by 41, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 12788.707317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
30 divided by 41 is 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 12788.707317
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
When dividing 300 by 41, we get 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 12788.70731707
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 12788.70731707, with a leftover of 1.3e-08.