We're dividing 306908 by 45 
Our goal is to divide 306908 by 45.

Going ahead to step 1:
3 divided by 45 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 45

Moving on to step 2:
If we divide 30 by 45, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 45

Step 3:
If we divide 306 by 45, we get 6 and a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 270 from 306 leaves us with 36.
Include the next digit (9) from the dividend after 36, then repeat: 369 / 45

Step 4:
369 divided by 45 is 8 with a remainder of 9.
The next digit of our result is 8. 
Result so far: 68.0
Deduct 360 from 369 and we're left with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 45

Let's proceed to step 5:
The number 45 fits into 90 2 times, leaving a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 682.0
The remainder is 0 after subtracting 90 from 90.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 45

Advancing to step 6:
45 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 6820.0
Deduct 0 from 8 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
45 goes into 80 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 6820.1
The remainder is 35 after subtracting 45 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
When dividing 350 by 45, we get 7 with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 6820.17
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
350 divided by 45 is 7 with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 6820.177
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 6820.177, with a leftover of 0.0035.