Let's divide 376763 by 9
We want to divide 376763 by 9.

Advancing to step 1:
If we divide 3 by 9, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 9

Advancing to step 2:
37 divided by 9 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 36 from 37 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 9

Step 3:
When dividing 16 by 9, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 41.0
Subtract 9 from 16 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 9

Moving on to step 4:
If we divide 77 by 9, we get 8 and a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 418.0
Subtracting 72 from 77 leaves us with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

On to step 5:
9 can be fit into 56 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 4186.0
If we take 54 away from 56, we end up with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 9

On to step 6:
9 can be fit into 23 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 41862.0
Subtracting 18 from 23 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
9 goes into 50 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 41862.5
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 41862.55
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 41862.55 with a remainder of 0.005.