85843 ÷ 9 = 9538 R1
No problem, we've got 85843 and 9 for the division.

Step 1:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 8 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 2:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 81 from 85 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 3:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 45 from 48 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 9

Step 4:
9 goes into 34 3 times with a remainder of 7.
Write down 3 as next digit of of the result. 
Result so far: 953
Subtract 27 from 34 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 5:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 9538
Subtract 72 from 73 to get 1.

The final result is 9538 with a remainder of 1.