45586 ÷ 8 = 5698 R2
Let's divide 45586 by 8.

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 (5) of the dividend behind the 4 and repeat the process: 45 / 8

Step 2:
8 goes into 45 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 45 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 8

Step 3:
8 goes into 55 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 56
Subtract 48 from 55 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 8

Step 4:
8 goes into 78 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 569
Subtract 72 from 78 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 5:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 5698
Subtract 64 from 66 to get 2.

The final result is 5698 with a remainder of 2.