We're dividing 126284 by 41 
We want to divide 126284 by 41.

Step 1:
1 divided by 41 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 41

Going ahead to step 2:
When dividing 12 by 41, we get 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 41

On to step 3:
126 divided by 41 is 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 123 from 126 to get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 41

Step 4:
41 goes into 32 0 times with a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 30.0
Subtracting 0 from 32 leaves us with 32.
Take the next digit (8) from the dividend and append it to 32, then repeat: 328 / 41

Step 5:
41 can be fit into 328 8 times, resulting in a remainder of 0.
The next digit of our result is 8. 
Result so far: 308.0
Subtracting 328 from 328 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 41

Going ahead to step 6:
When dividing 4 by 41, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 3080.0
The remainder is 4 after subtracting 0 from 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 41 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 3080.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 41 is 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 3080.09
If we subtract 369 from 400, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 9:
The number 41 fits into 310 7 times, leaving a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 3080.097
The remainder is 23 after subtracting 287 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 10:
41 goes into 230 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 3080.0975
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
If we divide 250 by 41, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 3080.09756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 3080.09756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 3080.0975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 14:
If we divide 310 by 41, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 3080.09756097
If we subtract 287 from 310, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The quotient of the division is 3080.09756097, and the remainder is 2.3e-08.