302120 ÷ 8 
Our goal is to divide 302120 by 8.

Moving on to step 1:
8 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 8

Going ahead to step 2:
8 goes into 30 3 times with a remainder of 6.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 24 from 30 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Let's proceed to step 3:
8 goes into 62 7 times with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 37.0
If we subtract 56 from 62, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 8

Advancing to step 4:
61 divided by 8 is 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 377.0
Deduct 56 from 61 and we're left with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 8

Going ahead to step 5:
8 goes into 52 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 3776.0
If we take 48 away from 52, we end up with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 8

On to step 6:
When dividing 40 by 8, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 37765.0
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
If we divide 0 by 8, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 37765.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 37765.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 37765.0, with a leftover of 0.0.