434053 ÷ 9 
We're looking to find how many times 9 goes into 434053.

Going ahead to step 1:
9 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 9

Step 2:
If we divide 43 by 9, we get 4 and a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 7 after subtracting 36 from 43.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 9

Moving on to step 3:
9 goes into 74 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Deduct 72 from 74 and we're left with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 9

Let's proceed to step 4:
The number 9 fits into 20 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 482.0
If we take 18 away from 20, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 9

Moving on to step 5:
25 divided by 9 is 2 with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 4822.0
If we take 18 away from 25, we end up with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 9

Going ahead to step 6:
If we divide 73 by 9, we get 8 and a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 48228.0
If we take 72 away from 73, 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.

Let's proceed to step 7:
9 goes into 10 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 48228.1
If we subtract 9 from 10, 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.

Going ahead to step 8:
9 goes into 10 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 48228.11
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.

After the division, we end up with 48228.11 and a remainder of 0.001.