70584 ÷ 5 = 14116 R4
We're going to perform division on 70584 with 5 as the divisor.

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 (0) of the dividend behind the 2 and repeat the process: 20 / 5

Step 2:
5 goes into 20 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 20 from 20 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 5

Step 3:
5 goes into 5 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 141
Subtract 5 from 5 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: 1411
Subtract 5 from 8 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 5:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 14116
Subtract 30 from 34 to get 4.

The final result is 14116 with a remainder of 4.