4870 ÷ 9 = 541 R1
Alright, let's work through the division of 4870 by 9 step by step.

Step 1:
9 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 (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 2:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 48 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 3:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 54
Subtract 36 from 37 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 9

Step 4:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 541
Subtract 9 from 10 to get 1.

The final result is 541 with a remainder of 1.