We look at the division of 420287 by 41 
We're looking to find how many times 41 goes into 420287.

Step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 41

On to step 2:
When dividing 42 by 41, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 41 from 42, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 41

Going ahead to step 3:
The number 41 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 41

Advancing to step 4:
If we divide 102 by 41, we get 2 and a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 102.0
Deduct 82 from 102 and we're left with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 41

Moving on to step 5:
When dividing 208 by 41, we get 5 with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 1025.0
If we subtract 205 from 208, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 41

Advancing to step 6:
The number 41 fits into 37 0 times, leaving a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 10250.0
If we subtract 0 from 37, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
When dividing 370 by 41, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 10250.9
If we subtract 369 from 370, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
When dividing 10 by 41, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 10250.9
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 10250.902
Subtract 82 from 100 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
41 can be fit into 180 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 10250.9024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
If we divide 160 by 41, we get 3 and a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 10250.90243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 12:
If we divide 370 by 41, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 10250.902439
Subtracting 369 from 370 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10250.902439
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
When dividing 100 by 41, we get 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 10250.90243902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 10250.90243902 with a remainder of 1.8e-08.