17884 ÷ 3 = 5961 R1
Let's divide 17884 by 3.

Step 1:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 3

Step 2:
3 goes into 17 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 15 from 17 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 3:
3 goes into 28 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 27 from 28 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 4:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 596
Subtract 18 from 18 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 5:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 5961
Subtract 3 from 4 to get 1.

The final result is 5961 with a remainder of 1.