86409089 ÷ 827 
We want to figure out the number of times 86409089 can be divided by 827.

On to step 1:
The number 827 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 827

Moving on to step 2:
827 can be fit into 86 0 times, resulting in a remainder of 86.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 86, we end up with 86.
Take the next digit (4) from the dividend and append it to 86, then repeat: 864 / 827

Step 3:
When dividing 864 by 827, we get 1 with a remainder of 37.
The next digit of our result is 1. 
Result so far: 1.0
If we take 827 away from 864, we end up with 37.
Take the next digit (0) from the dividend and append it to 37, then repeat: 370 / 827

Going ahead to step 4:
The number 827 fits into 370 0 times, leaving a remainder of 370.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 370 after subtracting 0 from 370.
Grab the next digit (9) from the dividend, add it to 370, then carry on: 3709 / 827

Let's proceed to step 5:
If we divide 3709 by 827, we get 4 and a remainder of 401.
The number 4 becomes the next digit in our result. 
Result so far: 104.0
If we subtract 3308 from 3709, we get 401.
Grab the next digit (0) from the dividend, add it to 401, then carry on: 4010 / 827

Moving on to step 6:
If we divide 4010 by 827, we get 4 and a remainder of 702.
The next digit of our result is 4. 
Result so far: 1044.0
If we take 3308 away from 4010, we end up with 702.
Bring next digit (8) of the dividend behind the 702 and repeat the process: 7028 / 827

Let's proceed to step 7:
The number 827 fits into 7028 8 times, leaving a remainder of 412.
Record the quotient 8 as the next digit in the result. 
Result so far: 10448.0
Deduct 6616 from 7028 and we're left with 412.
Take the next digit (9) from the dividend and append it to 412, then repeat: 4129 / 827

Step 8:
The number 827 fits into 4129 4 times, leaving a remainder of 821.
The number 4 becomes the next digit in our result. 
Result so far: 104484.0
Subtracting 3308 from 4129 leaves us with 821.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8210, and continue the process.

Let's proceed to step 9:
If we divide 8210 by 827, we get 9 and a remainder of 767.
Put 9 as the next digit of the answer. 
Result so far: 104484.9
The remainder is 767 after subtracting 7443 from 8210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7670, and continue the process.

Advancing to step 10:
827 can be fit into 7670 9 times, resulting in a remainder of 227.
The number 9 becomes the next digit in our result. 
Result so far: 104484.99
If we subtract 7443 from 7670, we get 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

The quotient of the division is 104484.99, and the remainder is 0.227.