433105 ÷ 302 
Our goal is to divide 433105 by 302.

Advancing to step 1:
302 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 302

On to step 2:
If we divide 43 by 302, we get 0 and a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 302

Advancing to step 3:
433 divided by 302 is 1 with a remainder of 131.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 302 from 433, we get 131.
Append the next digit (1) from the dividend to 131 and continue with: 1311 / 302

Let's proceed to step 4:
When dividing 1311 by 302, we get 4 with a remainder of 103.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 1208 from 1311 to get 103.
Grab the next digit (0) from the dividend, add it to 103, then carry on: 1030 / 302

Moving on to step 5:
The number 302 fits into 1030 3 times, leaving a remainder of 124.
The number 3 becomes the next digit in our result. 
Result so far: 143.0
If we take 906 away from 1030, we end up with 124.
Fetch the next digit (5) from the dividend, attach it to 124 and continue: 1245 / 302

On to step 6:
302 can be fit into 1245 4 times, resulting in a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 1434.0
Subtract 1208 from 1245 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.

On to step 7:
370 divided by 302 is 1 with a remainder of 68.
Put 1 as the next digit of the answer. 
Result so far: 1434.1
Subtracting 302 from 370 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
302 can be fit into 680 2 times, resulting in a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 1434.12
If we subtract 604 from 680, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
302 can be fit into 760 2 times, resulting in a remainder of 156.
Put 2 as the next digit of the answer. 
Result so far: 1434.122
If we take 604 away from 760, we end up with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

The final result is 1434.122 with a remainder of 0.0156.