7055 ÷ 9 = 783 R8
Alright, let's work through the division of 7055 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 9

Step 2:
9 goes into 70 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 70 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Step 3:
9 goes into 75 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 78
Subtract 72 from 75 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Step 4:
9 goes into 35 3 times with a remainder of 8.
Write down 3 as next digit of of the result. 
Result so far: 783
Subtract 27 from 35 to get 8.

The final result is 783 with a remainder of 8.