We look at the division of 420351 by 41 
We're looking to find how many times 41 goes into 420351.

Advancing to step 1:
41 goes into 4 0 times with 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.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 41

Moving on to step 2:
When dividing 42 by 41, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 41 from 42, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 41

Step 3:
41 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 10 to get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 41

Step 4:
If we divide 103 by 41, we get 2 and a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtracting 82 from 103 leaves us with 21.
Append the next digit (5) from the dividend to 21 and continue with: 215 / 41

Advancing to step 5:
If we divide 215 by 41, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 1025.0
Subtract 205 from 215 to get 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 41

Moving on to step 6:
41 goes into 101 2 times with a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 10252.0
If we take 82 away from 101, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
190 divided by 41 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 10252.4
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
41 can be fit into 260 6 times, resulting in a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 10252.46
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 10252.463
Subtract 123 from 140 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 10:
41 goes into 170 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 10252.4634
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
The number 41 fits into 60 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 10252.46341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 12:
41 can be fit into 190 4 times, resulting in a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 10252.463414
Subtract 164 from 190 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 13:
260 divided by 41 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 10252.4634146
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
41 can be fit into 140 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 10252.46341463
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 10252.46341463, with a leftover of 1.7e-08.