469801 ÷ 35 
We're looking to find how many times 35 goes into 469801.

Let's proceed to step 1:
35 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 35

Moving on to step 2:
When dividing 46 by 35, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 35 from 46, we get 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 35

Advancing to step 3:
When dividing 119 by 35, we get 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we subtract 105 from 119, we get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 35

Moving on to step 4:
When dividing 148 by 35, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 134.0
Subtracting 140 from 148 leaves us with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 35

On to step 5:
35 goes into 80 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 1342.0
The remainder is 10 after subtracting 70 from 80.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 35

On to step 6:
If we divide 101 by 35, we get 2 and a remainder of 31.
The next digit of our result is 2. 
Result so far: 13422.0
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:
310 divided by 35 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 13422.8
If we take 280 away from 310, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
35 goes into 300 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 13422.88
The remainder is 20 after subtracting 280 from 300.
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 outcome is 13422.88, with a leftover of 0.02.