We look at the division of 565444 by 65 
We want to divide 565444 by 65.

Going ahead to step 1:
If we divide 5 by 65, we get 0 and 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.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 65

Let's proceed to step 2:
65 can be fit into 56 0 times, resulting in a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Take the next digit (5) from the dividend and append it to 56, then repeat: 565 / 65

Moving on to step 3:
65 can be fit into 565 8 times, resulting in a remainder of 45.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 520 from 565, we get 45.
Take the next digit (4) from the dividend and append it to 45, then repeat: 454 / 65

Step 4:
The number 65 fits into 454 6 times, leaving a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 86.0
If we subtract 390 from 454, we get 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 65

Advancing to step 5:
644 divided by 65 is 9 with a remainder of 59.
The next digit of our result is 9. 
Result so far: 869.0
Deduct 585 from 644 and we're left with 59.
Bring next digit (4) of the dividend behind the 59 and repeat the process: 594 / 65

Step 6:
594 divided by 65 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 8699.0
The remainder is 9 after subtracting 585 from 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 65 fits into 90 1 times, leaving a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 8699.1
Deduct 65 from 90 and we're left 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.

Let's proceed to step 8:
If we divide 250 by 65, we get 3 and a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 8699.13
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.

On to step 9:
65 goes into 550 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8699.138
Subtracting 520 from 550 leaves us 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:
300 divided by 65 is 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 8699.1384
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.

Moving on 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: 8699.13846
Subtract 390 from 400 to get 10.
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:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 8699.138461
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:
When dividing 350 by 65, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 8699.1384615
If we subtract 325 from 350, 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.

On to step 14:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 8699.13846153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 8699.13846153 with a remaining 5.5e-08.