We're dividing 302305 by 606 
Our goal is to divide 302305 by 606.

Advancing to step 1:
The number 606 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 606

On to step 2:
606 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 606

Let's proceed to step 3:
606 can be fit into 302 0 times, resulting in a remainder of 302.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 302, we get 302.
Fetch the next digit (3) from the dividend, attach it to 302 and continue: 3023 / 606

Step 4:
606 can be fit into 3023 4 times, resulting in a remainder of 599.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 2424 away from 3023, we end up with 599.
Take the next digit (0) from the dividend and append it to 599, then repeat: 5990 / 606

Step 5:
606 goes into 5990 9 times with a remainder of 536.
The next digit of our result is 9. 
Result so far: 49.0
If we subtract 5454 from 5990, we get 536.
Append the next digit (5) from the dividend to 536 and continue with: 5365 / 606

Advancing to step 6:
When dividing 5365 by 606, we get 8 with a remainder of 517.
Use 8 as the next digit of our solution. 
Result so far: 498.0
Deduct 4848 from 5365 and we're left with 517.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5170, and continue the process.

Moving on to step 7:
606 goes into 5170 8 times with a remainder of 322.
Use 8 as the next digit of our solution. 
Result so far: 498.8
If we subtract 4848 from 5170, we get 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Step 8:
If we divide 3220 by 606, we get 5 and a remainder of 190.
Write down 5 as next digit of the result. 
Result so far: 498.85
If we take 3030 away from 3220, we end up with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Moving on to step 9:
When dividing 1900 by 606, we get 3 with a remainder of 82.
Use 3 as the next digit of our solution. 
Result so far: 498.853
If we subtract 1818 from 1900, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 10:
606 goes into 820 1 times with a remainder of 214.
Put 1 as the next digit of the answer. 
Result so far: 498.8531
Deduct 606 from 820 and we're left with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Step 11:
The number 606 fits into 2140 3 times, leaving a remainder of 322.
The next digit of our result is 3. 
Result so far: 498.85313
Deduct 1818 from 2140 and we're left with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Step 12:
If we divide 3220 by 606, we get 5 and a remainder of 190.
The number 5 becomes the next digit in our result. 
Result so far: 498.853135
The remainder is 190 after subtracting 3030 from 3220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Advancing to step 13:
The number 606 fits into 1900 3 times, leaving a remainder of 82.
Put 3 as the next digit of the answer. 
Result so far: 498.8531353
Subtracting 1818 from 1900 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Let's proceed to step 14:
606 can be fit into 820 1 times, resulting in a remainder of 214.
The next digit of our result is 1. 
Result so far: 498.85313531
Subtract 606 from 820 to get 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Our division results in 498.85313531 with a remaining 2.14e-07.