50577 ÷ 9 = 5619 R6
Alright, let's work through the division of 50577 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 9

Step 2:
9 goes into 50 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 50 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 9

Step 3:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 56
Subtract 54 from 55 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 4:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 561
Subtract 9 from 17 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 9

Step 5:
9 goes into 87 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 5619
Subtract 81 from 87 to get 6.

The final result is 5619 with a remainder of 6.