We look at the division of 565867 by 84 
Our goal is to divide 565867 by 84.

Step 1:
The number 84 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 84

On to step 2:
84 goes into 56 0 times with a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 56 after subtracting 0 from 56.
Take the next digit (5) from the dividend and append it to 56, then repeat: 565 / 84

Advancing to step 3:
The number 84 fits into 565 6 times, leaving a remainder of 61.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 504 from 565 and we're left with 61.
Take the next digit (8) from the dividend and append it to 61, then repeat: 618 / 84

Step 4:
When dividing 618 by 84, we get 7 with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 67.0
Deduct 588 from 618 and we're left with 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 84

Advancing to step 5:
If we divide 306 by 84, we get 3 and a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 673.0
Subtracting 252 from 306 leaves us with 54.
Append the next digit (7) from the dividend to 54 and continue with: 547 / 84

Let's proceed to step 6:
The number 84 fits into 547 6 times, leaving a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 6736.0
If we take 504 away from 547, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
The number 84 fits into 430 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6736.5
Subtracting 420 from 430 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.

Advancing to step 8:
100 divided by 84 is 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 6736.51
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
If we divide 160 by 84, we get 1 and a remainder of 76.
Record the quotient 1 as the next digit in the result. 
Result so far: 6736.511
If we take 84 away from 160, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final result is 6736.511 with a remainder of 0.0076.