We look at the division of 532742 by 44 
Our goal is to divide 532742 by 44.

Advancing to step 1:
44 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 44

Let's proceed to step 2:
44 can be fit into 53 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 44 from 53 to get 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 44

On to step 3:
If we divide 92 by 44, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 88 from 92, we get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 44

Let's proceed to step 4:
47 divided by 44 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Deduct 44 from 47 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 44

Going ahead to step 5:
When dividing 34 by 44, we get 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 1210.0
If we take 0 away from 34, we end up with 34.
Grab the next digit (2) from the dividend, add it to 34, then carry on: 342 / 44

Going ahead to step 6:
44 goes into 342 7 times with a remainder of 34.
The next digit of our result is 7. 
Result so far: 12107.0
Subtracting 308 from 342 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
The number 44 fits into 340 7 times, leaving a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 12107.7
If we take 308 away from 340, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
44 goes into 320 7 times with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 12107.77
Deduct 308 from 320 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 12107.77, with a leftover of 0.012.