We divide 543742 by 9
We're looking to find how many times 9 goes into 543742.

Moving on to step 1:
5 divided by 9 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 9

Let's proceed to step 2:
54 divided by 9 is 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 54 from 54 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 9

Let's proceed to step 3:
9 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 9

Going ahead to step 4:
The number 9 fits into 37 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 604.0
Deduct 36 from 37 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 9

Advancing to step 5:
9 can be fit into 14 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 6041.0
Subtracting 9 from 14 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 9

On to step 6:
The number 9 fits into 52 5 times, leaving a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 60415.0
Subtract 45 from 52 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
If we divide 70 by 9, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 60415.7
If we subtract 63 from 70, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
70 divided by 9 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 60415.77
Subtracting 63 from 70 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 60415.77 with a remainder of 0.007.