Let's divide 126364 by 41
We want to divide 126364 by 41.

Moving on to step 1:
41 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 41

Advancing to step 2:
The number 41 fits into 12 0 times, leaving a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 41

Moving on to step 3:
126 divided by 41 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 123 from 126 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 41

Step 4:
If we divide 33 by 41, we get 0 and a remainder of 33.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
If we subtract 0 from 33, we get 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 41

Step 5:
41 can be fit into 336 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 308.0
The remainder is 8 after subtracting 328 from 336.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 41

On to step 6:
41 goes into 84 2 times with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 3082.0
Subtracting 82 from 84 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
When dividing 20 by 41, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 3082.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
200 divided by 41 is 4 with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 3082.04
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 3082.048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
320 divided by 41 is 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 3082.0487
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 11:
When dividing 330 by 41, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3082.04878
Deduct 328 from 330 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
41 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 3082.04878
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 13:
When dividing 200 by 41, we get 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 3082.0487804
Subtracting 164 from 200 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 3082.04878048
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 3082.04878048 and a remainder of 3.2e-08.