We look at the division of 35501 by 30 
We're looking to find how many times 30 goes into 35501.

Let's proceed to step 1:
3 divided by 30 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 30

Let's proceed to step 2:
30 can be fit into 35 1 times, resulting in a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 30 from 35 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 30

Moving on to step 3:
55 divided by 30 is 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 30 away from 55, we end up with 25.
Fetch the next digit (0) from the dividend, attach it to 25 and continue: 250 / 30

On to step 4:
30 can be fit into 250 8 times, resulting in a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 118.0
Subtracting 240 from 250 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 30

Advancing to step 5:
30 goes into 101 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 1183.0
Subtracting 90 from 101 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
When dividing 110 by 30, we get 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 1183.3
Deduct 90 from 110 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 7:
30 goes into 200 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 1183.36
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1183.366
If we subtract 180 from 200, we 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 1183.366 with a remainder of 0.002.