We're dividing 506043 by 41 
We want to divide 506043 by 41.

On to step 1:
41 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 41

Let's proceed to step 2:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 41 away from 50, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 41

Going ahead to step 3:
96 divided by 41 is 2 with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 82 away from 96, we end up with 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 41

On to step 4:
41 goes into 140 3 times with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 123.0
Subtracting 123 from 140 leaves us with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 41

Moving on to step 5:
41 goes into 174 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 1234.0
Subtract 164 from 174 to get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 41

On to step 6:
If we divide 103 by 41, we get 2 and a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 12342.0
If we subtract 82 from 103, we 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.

Moving on to step 7:
When dividing 210 by 41, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 12342.5
Deduct 205 from 210 and we're left with 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 8:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 12342.51
Deduct 41 from 50 and we're left 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.

Moving on to step 9:
90 divided by 41 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 12342.512
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.

On to step 10:
When dividing 80 by 41, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 12342.5121
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.

Moving on to step 11:
41 goes into 390 9 times with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 12342.51219
If we subtract 369 from 390, we 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 12:
41 can be fit into 210 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 12342.512195
If we take 205 away from 210, we end up with 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 13:
50 divided by 41 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 12342.5121951
The remainder is 9 after subtracting 41 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
When dividing 90 by 41, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 12342.51219512
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.

The quotient of the division is 12342.51219512, and the remainder is 8e-09.