We're dividing 53305 by 44 
We want to divide 53305 by 44.

Step 1:
44 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 44

Advancing to step 2:
53 divided by 44 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 44 from 53 leaves us with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 44

Moving on to step 3:
If we divide 93 by 44, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 12.0
If we take 88 away from 93, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 44

Going ahead to step 4:
50 divided by 44 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 121.0
Subtracting 44 from 50 leaves us with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 44

Going ahead to step 5:
If we divide 65 by 44, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1211.0
Deduct 44 from 65 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 6:
210 divided by 44 is 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 1211.4
Deduct 176 from 210 and we're left 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.

On to step 7:
When dividing 340 by 44, we get 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 1211.47
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.

Let's proceed to step 8:
If we divide 320 by 44, we get 7 and a remainder of 12.
The next digit of our result is 7. 
Result so far: 1211.477
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 quotient of the division is 1211.477, and the remainder is 0.0012.