376865 ÷ 9 
Our goal is to divide 376865 by 9.

Moving on to step 1:
The number 9 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Going ahead to step 2:
9 goes into 37 4 times with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 36 from 37 to get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 9

Going ahead to step 3:
9 can be fit into 16 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 41.0
If we take 9 away from 16, we end up with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 9

Step 4:
The number 9 fits into 78 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 418.0
Subtracting 72 from 78 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 9

Let's proceed to step 5:
If we divide 66 by 9, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 4187.0
If we take 63 away from 66, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 9

Advancing to step 6:
If we divide 35 by 9, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 41873.0
If we subtract 27 from 35, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
80 divided by 9 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 41873.8
Deduct 72 from 80 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.

Going ahead to step 8:
If we divide 80 by 9, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 41873.88
Deduct 72 from 80 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.

After the division, we end up with 41873.88 and a remainder of 0.008.