376437 divided by 9 
We want to divide 376437 by 9.

Step 1:
9 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 9

On to step 2:
37 divided by 9 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 36 from 37 and we're left with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 9

Let's proceed to step 3:
9 goes into 16 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
If we take 9 away from 16, we end up with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 9

Let's proceed to step 4:
9 goes into 74 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 418.0
Subtract 72 from 74 to get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 9

Let's proceed to step 5:
If we divide 23 by 9, we get 2 and a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 4182.0
Subtract 18 from 23 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 9

Going ahead to step 6:
If we divide 57 by 9, we get 6 and a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 41826.0
Subtracting 54 from 57 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
9 can be fit into 30 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 41826.3
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 41826.33
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 41826.33 with a balance of 0.003.