72689 ÷ 7 = 10384 R1
Alright, let's work through the division of 72689 by 7 step by step.

Step 1:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 7 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Step 2:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 3:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 21 from 26 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 7

Step 4:
7 goes into 58 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 1038
Subtract 56 from 58 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 5:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 10384
Subtract 28 from 29 to get 1.

The final result is 10384 with a remainder of 1.