2001 ÷ 9 = 222 R3
No problem, we've got 2001 and 9 for the division.

Step 1:
9 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 9

Step 2:
9 goes into 20 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 20 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 9

Step 3:
9 goes into 20 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 18 from 20 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 9

Step 4:
9 goes into 21 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 222
Subtract 18 from 21 to get 3.

The final result is 222 with a remainder of 3.