9773 ÷ 44 
We want to figure out the number of times 9773 can be divided by 44.

Advancing to step 1:
The number 44 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 44

Advancing to step 2:
44 can be fit into 97 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 9 after subtracting 88 from 97.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 44

Going ahead to step 3:
97 divided by 44 is 2 with a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 22.0
If we take 88 away from 97, we end up with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 44

Step 4:
93 divided by 44 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 222.0
Subtracting 88 from 93 leaves us 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.

Going ahead to step 5:
44 goes into 50 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 222.1
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 6:
44 goes into 60 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 222.11
Deduct 44 from 60 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 222.11 with a remainder of 0.016.