6307 ÷ 9 = 700 R7
No problem, we've got 6307 and 9 for the division.

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 (0) of the dividend behind the 0 and repeat the process: 0 / 9

Step 3:
9 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 0 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 4:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 700
Subtract 0 from 7 to get 7.

The final result is 700 with a remainder of 7.