9790 ÷ 9 = 1087 R7
Alright, let's work through the division of 9790 by 9 step by step.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 2:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 7 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 9

Step 3:
9 goes into 79 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 108
Subtract 72 from 79 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 9

Step 4:
9 goes into 70 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 1087
Subtract 63 from 70 to get 7.

The final result is 1087 with a remainder of 7.