3444 ÷ 9 = 382 R6
We're going to perform division on 3444 with 9 as the divisor.

Step 1:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Step 2:
9 goes into 34 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 27 from 34 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 9

Step 3:
9 goes into 74 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 72 from 74 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 9

Step 4:
9 goes into 24 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 382
Subtract 18 from 24 to get 6.

The final result is 382 with a remainder of 6.