61369 ÷ 9 = 6818 R7
Alright, let's work through the division of 61369 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 (1) of the dividend behind the 6 and repeat the process: 61 / 9

Step 2:
9 goes into 61 6 times with a remainder of 7.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 61 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

Step 3:
9 goes into 73 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 68
Subtract 72 from 73 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: 681
Subtract 9 from 16 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 9

Step 5:
9 goes into 79 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 6818
Subtract 72 from 79 to get 7.

The final result is 6818 with a remainder of 7.