We look at the division of 306379 by 45 
Our goal is to divide 306379 by 45.

Let's proceed to step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 45

Going ahead to step 2:
45 can be fit into 30 0 times, resulting in a remainder of 30.
The next digit of our result is 0. 
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

Advancing to step 3:
When dividing 306 by 45, we get 6 with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 270 away from 306, we end up with 36.
Append the next digit (3) from the dividend to 36 and continue with: 363 / 45

Advancing to step 4:
363 divided by 45 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
The remainder is 3 after subtracting 360 from 363.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 45

Advancing to step 5:
37 divided by 45 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 680.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 45

Going ahead to step 6:
The number 45 fits into 379 8 times, leaving a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 6808.0
If we take 360 away from 379, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
If we divide 190 by 45, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 6808.4
Deduct 180 from 190 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 6808.42
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 6808.422
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 6808.422 and a remainder of 0.001.