We're dividing 76843 by 9 
We're looking to find how many times 9 goes into 76843.

Step 1:
If we divide 7 by 9, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 9

On to step 2:
9 goes into 76 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 72 from 76 leaves us with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 9

Let's proceed to step 3:
9 can be fit into 48 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 45 from 48 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Going ahead to step 4:
9 can be fit into 34 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 853.0
If we take 27 away from 34, we end up with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 9

Moving on to step 5:
The number 9 fits into 73 8 times, leaving a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8538.0
If we subtract 72 from 73, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
The number 9 fits into 10 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 8538.1
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
9 goes into 10 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 8538.11
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 8538.11 with a remainder of 0.001.