4634 ÷ 8 = 579 R2
No problem, we've got 4634 and 8 for the division.

Step 1:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 8

Step 2:
8 goes into 46 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 46 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 8

Step 3:
8 goes into 63 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 56 from 63 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 8

Step 4:
8 goes into 74 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 579
Subtract 72 from 74 to get 2.

The final result is 579 with a remainder of 2.