Let's divide 553536 by 65
Our goal is to divide 553536 by 65.

Let's proceed to step 1:
65 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 65

Advancing to step 2:
If we divide 55 by 65, we get 0 and a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 65

On to step 3:
65 goes into 553 8 times with a remainder of 33.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 520 away from 553, we end up with 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 65

Let's proceed to step 4:
If we divide 335 by 65, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 85.0
The remainder is 10 after subtracting 325 from 335.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 65

Advancing to step 5:
If we divide 103 by 65, we get 1 and a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 851.0
Subtracting 65 from 103 leaves us with 38.
Append the next digit (6) from the dividend to 38 and continue with: 386 / 65

Step 6:
If we divide 386 by 65, we get 5 and a remainder of 61.
Write down 5 as next digit of the result. 
Result so far: 8515.0
Subtracting 325 from 386 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
65 can be fit into 610 9 times, resulting in a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 8515.9
If we subtract 585 from 610, we get 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 8:
250 divided by 65 is 3 with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 8515.93
If we subtract 195 from 250, we 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.

Going ahead to step 9:
550 divided by 65 is 8 with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 8515.938
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 10:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 8515.9384
Subtracting 260 from 300 leaves us with 40.
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:
400 divided by 65 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 8515.93846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
100 divided by 65 is 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 8515.938461
Subtracting 65 from 100 leaves us 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.

Step 13:
350 divided by 65 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 8515.9384615
The remainder is 25 after subtracting 325 from 350.
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 14:
65 goes into 250 3 times with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 8515.93846153
If we take 195 away from 250, we end up with 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 8515.93846153, with a leftover of 5.5e-08.