We're dividing 78259 by 86 
Our goal is to divide 78259 by 86.

On to step 1:
7 divided by 86 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 86

On to step 2:
The number 86 fits into 78 0 times, leaving a remainder of 78.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Take the next digit (2) from the dividend and append it to 78, then repeat: 782 / 86

Going ahead to step 3:
86 goes into 782 9 times with a remainder of 8.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 774 from 782 to get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 86

Moving on to step 4:
86 goes into 85 0 times with a remainder of 85.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtract 0 from 85 to get 85.
Grab the next digit (9) from the dividend, add it to 85, then carry on: 859 / 86

Let's proceed to step 5:
859 divided by 86 is 9 with a remainder of 85.
The number 9 becomes the next digit in our result. 
Result so far: 909.0
Subtracting 774 from 859 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Advancing to step 6:
86 can be fit into 850 9 times, resulting in a remainder of 76.
Use 9 as the next digit of our solution. 
Result so far: 909.9
If we subtract 774 from 850, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 7:
The number 86 fits into 760 8 times, leaving a remainder of 72.
The number 8 becomes the next digit in our result. 
Result so far: 909.98
Deduct 688 from 760 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 8:
When dividing 720 by 86, we get 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 909.988
Deduct 688 from 720 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 909.988, and the remainder is 0.0032.