We look at the division of 553224 by 65 
Our goal is to divide 553224 by 65.

Step 1:
65 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 65

Moving on to step 2:
The number 65 fits into 55 0 times, leaving a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Bring next digit (3) of the dividend behind the 55 and repeat the process: 553 / 65

On to step 3:
The number 65 fits into 553 8 times, leaving a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 520 from 553, we get 33.
Take the next digit (2) from the dividend and append it to 33, then repeat: 332 / 65

Moving on to step 4:
When dividing 332 by 65, we get 5 with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 85.0
If we take 325 away from 332, we end up with 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 65

Advancing to step 5:
65 can be fit into 72 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
Subtracting 65 from 72 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 65

Moving on to step 6:
The number 65 fits into 74 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 8511.0
Deduct 65 from 74 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
65 goes into 90 1 times with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 8511.1
Subtracting 65 from 90 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
65 goes into 250 3 times with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 8511.13
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 9:
550 divided by 65 is 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 8511.138
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
When dividing 300 by 65, we get 4 with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 8511.1384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
If we divide 400 by 65, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 8511.13846
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
When dividing 100 by 65, we get 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 8511.138461
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
350 divided by 65 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 8511.1384615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
When dividing 250 by 65, we get 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 8511.13846153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final outcome is 8511.13846153, with a leftover of 5.5e-08.