87690 ÷ 7 = 12527 R1
Alright, let's work through the division of 87690 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 7

Step 2:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 17 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 7

Step 3:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 125
Subtract 35 from 36 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Step 4:
7 goes into 19 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 1252
Subtract 14 from 19 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 5:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 12527
Subtract 49 from 50 to get 1.

The final result is 12527 with a remainder of 1.