86662 divided by 16 
We're looking to find how many times 16 goes into 86662.

Step 1:
16 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 16

Advancing to step 2:
86 divided by 16 is 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 5.0
If we take 80 away from 86, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 16

On to step 3:
16 goes into 66 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 54.0
The remainder is 2 after subtracting 64 from 66.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 16

Step 4:
If we divide 26 by 16, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 541.0
If we take 16 away from 26, we end up with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 16

On to step 5:
If we divide 102 by 16, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 5416.0
Deduct 96 from 102 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
16 goes into 60 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 5416.3
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 5416.37
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
80 divided by 16 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5416.375
If we take 80 away from 80, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5416.375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5416.375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 5416.375, and the remainder is 0.0.