16579 ÷ 8 = 2072 R3
We're going to perform division on 16579 with 8 as the divisor.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Step 2:
8 goes into 16 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 16 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 3:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 20
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 8

Step 4:
8 goes into 57 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 207
Subtract 56 from 57 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 8

Step 5:
8 goes into 19 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2072
Subtract 16 from 19 to get 3.

The final result is 2072 with a remainder of 3.