78582 ÷ 5 = 15716 R2
Let's divide 78582 by 5.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 5

Step 2:
5 goes into 28 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 25 from 28 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 5

Step 3:
5 goes into 35 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 157
Subtract 35 from 35 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 5

Step 4:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1571
Subtract 5 from 8 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 5

Step 5:
5 goes into 32 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 15716
Subtract 30 from 32 to get 2.

The final result is 15716 with a remainder of 2.