812341 ÷ 9 
Our goal is to divide 812341 by 9.

Let's proceed to step 1:
The number 9 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 9

Let's proceed to step 2:
When dividing 81 by 9, we get 9 with a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 81 away from 81, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 9

Advancing to step 3:
The number 9 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 90.0
Subtract 0 from 2 to get 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 9

Going ahead to step 4:
If we divide 23 by 9, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 902.0
If we subtract 18 from 23, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 9

Going ahead to step 5:
The number 9 fits into 54 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 9026.0
Subtracting 54 from 54 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 9

On to step 6:
9 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 90260.0
Subtract 0 from 1 to 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.

Advancing to step 7:
The number 9 fits into 10 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 90260.1
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.

Moving on to step 8:
10 divided by 9 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 90260.11
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.

Our division results in 90260.11 with a remaining 0.001.