61687 ÷ 9 = 6854 R1
Alright, let's work through the division of 61687 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 (6) of the dividend behind the 7 and repeat the process: 76 / 9

Step 3:
9 goes into 76 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 68
Subtract 72 from 76 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 4:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 685
Subtract 45 from 48 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 5:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 6854
Subtract 36 from 37 to get 1.

The final result is 6854 with a remainder of 1.