6362 ÷ 9 = 706 R8
Alright, let's work through the division of 6362 by 9 step by step.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 9

Step 2:
9 goes into 63 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 63 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 3:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 6 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 9

Step 4:
9 goes into 62 6 times with a remainder of 8.
Write down 6 as next digit of of the result. 
Result so far: 706
Subtract 54 from 62 to get 8.

The final result is 706 with a remainder of 8.