64567 ÷ 86 
We want to figure out the number of times 64567 can be divided by 86.

Step 1:
6 divided by 86 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 86

Going ahead to step 2:
If we divide 64 by 86, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Bring next digit (5) of the dividend behind the 64 and repeat the process: 645 / 86

On to step 3:
If we divide 645 by 86, we get 7 and a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 602 from 645 leaves us with 43.
Fetch the next digit (6) from the dividend, attach it to 43 and continue: 436 / 86

On to step 4:
The number 86 fits into 436 5 times, leaving a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
If we subtract 430 from 436, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 86

Going ahead to step 5:
When dividing 67 by 86, we get 0 with a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 750.0
If we subtract 0 from 67, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 6:
The number 86 fits into 670 7 times, leaving a remainder of 68.
The next digit of our result is 7. 
Result so far: 750.7
If we take 602 away from 670, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 7:
680 divided by 86 is 7 with a remainder of 78.
The number 7 becomes the next digit in our result. 
Result so far: 750.77
Subtracting 602 from 680 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The quotient of the division is 750.77, and the remainder is 0.078.