We're dividing 565311 by 67 
Our goal is to divide 565311 by 67.

On to step 1:
If we divide 5 by 67, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 67

On to step 2:
If we divide 56 by 67, we get 0 and a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 67

On to step 3:
The number 67 fits into 565 8 times, leaving a remainder of 29.
The next digit of our result is 8. 
Result so far: 8.0
If we take 536 away from 565, we end up with 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 67

Step 4:
The number 67 fits into 293 4 times, leaving a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 84.0
Subtract 268 from 293 to get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 67

On to step 5:
67 can be fit into 251 3 times, resulting in a remainder of 50.
Put 3 as the next digit of the answer. 
Result so far: 843.0
Subtracting 201 from 251 leaves us with 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 67

Step 6:
The number 67 fits into 501 7 times, leaving a remainder of 32.
Write down 7 as next digit of the result. 
Result so far: 8437.0
If we subtract 469 from 501, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
When dividing 320 by 67, we get 4 with a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 8437.4
Subtract 268 from 320 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
If we divide 520 by 67, we get 7 and a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 8437.47
The remainder is 51 after subtracting 469 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
510 divided by 67 is 7 with a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 8437.477
The remainder is 41 after subtracting 469 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final outcome is 8437.477, with a leftover of 0.0041.