70578 ÷ 8 = 8822 R2
Alright, let's work through the division of 70578 by 8 step by step.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 2:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 70 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 8

Step 3:
8 goes into 65 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 64 from 65 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 8

Step 4:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 882
Subtract 16 from 17 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 8

Step 5:
8 goes into 18 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 8822
Subtract 16 from 18 to get 2.

The final result is 8822 with a remainder of 2.