9826 ÷ 9 = 1091 R7
We're going to perform division on 9826 with 9 as the divisor.

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 (8) of the dividend behind the 0 and repeat the process: 8 / 9

Step 2:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 8 to get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 9

Step 3:
9 goes into 82 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 81 from 82 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 4:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 1091
Subtract 9 from 16 to get 7.

The final result is 1091 with a remainder of 7.