We're dividing 300876 by 90 
We want to figure out the number of times 300876 can be divided by 90.

Let's proceed to step 1:
When dividing 3 by 90, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 90

Moving on to step 2:
90 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 90

Moving on to step 3:
90 goes into 300 3 times with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 30 after subtracting 270 from 300.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 90

Let's proceed to step 4:
If we divide 308 by 90, we get 3 and a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 33.0
The remainder is 38 after subtracting 270 from 308.
Bring next digit (7) of the dividend behind the 38 and repeat the process: 387 / 90

Moving on to step 5:
90 goes into 387 4 times with a remainder of 27.
Write down 4 as next digit of the result. 
Result so far: 334.0
Subtracting 360 from 387 leaves us with 27.
Bring next digit (6) of the dividend behind the 27 and repeat the process: 276 / 90

Step 6:
When dividing 276 by 90, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 3343.0
Subtract 270 from 276 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
If we divide 60 by 90, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 3343.0
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
When dividing 600 by 90, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 3343.06
Subtracting 540 from 600 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
90 can be fit into 600 6 times, resulting in a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 3343.066
If we subtract 540 from 600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 3343.066 with a remaining 0.006.