946 ÷ 9 = 105 R1
Alright, let's work through the division of 946 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 (4) of the dividend behind the 0 and repeat the process: 4 / 9

Step 2:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 4 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 3:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 45 from 46 to get 1.

The final result is 105 with a remainder of 1.