We're dividing 501301 by 35 
Let's see how many times 35 fits into 501301.

On to step 1:
35 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 35

Advancing to step 2:
If we divide 50 by 35, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 35 from 50 leaves us with 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 35

Step 3:
35 goes into 151 4 times with a remainder of 11.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 140 from 151 leaves us with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 35

Step 4:
35 goes into 113 3 times with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.0
Deduct 105 from 113 and we're left with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 35

Let's proceed to step 5:
35 goes into 80 2 times with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 1432.0
If we take 70 away from 80, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 35

Let's proceed to step 6:
If we divide 101 by 35, we get 2 and a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 14322.0
Subtracting 70 from 101 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
35 goes into 310 8 times with a remainder of 30.
The next digit of our result is 8. 
Result so far: 14322.8
Subtract 280 from 310 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 14322.88
Subtract 280 from 300 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 14322.88 with a remainder of 0.02.