43846 ÷ 9 = 4871 R7
Alright, let's work through the division of 43846 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 2:
9 goes into 43 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 43 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 9

Step 3:
9 goes into 78 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 48
Subtract 72 from 78 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Step 4:
9 goes into 64 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 487
Subtract 63 from 64 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 5:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 4871
Subtract 9 from 16 to get 7.

The final result is 4871 with a remainder of 7.