6334 ÷ 9 = 703 R7
We're going to perform division on 6334 with 9 as the divisor.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Step 2:
9 goes into 63 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 63 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 9

Step 3:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Step 4:
9 goes into 34 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 703
Subtract 27 from 34 to get 7.

The final result is 703 with a remainder of 7.