Let's divide 34592 by 9
We want to divide 34592 by 9.

Going ahead to step 1:
When dividing 3 by 9, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 9

Let's proceed to step 2:
If we divide 34 by 9, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 27 from 34 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Moving on to step 3:
If we divide 75 by 9, we get 8 and a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Deduct 72 from 75 and we're left with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 9

Moving on to step 4:
9 goes into 39 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 384.0
Subtract 36 from 39 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 9

Let's proceed to step 5:
9 can be fit into 32 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3843.0
If we take 27 away from 32, we end up 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 6:
If we divide 50 by 9, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3843.5
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.

Going ahead to step 7:
When dividing 50 by 9, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3843.55
If we take 45 away from 50, we end up 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.

The quotient of the division is 3843.55, and the remainder is 0.005.