65879 ÷ 8 = 8234 R7
Alright, let's work through the division of 65879 by 8 step by step.

Step 1:
8 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 (5) of the dividend behind the 6 and repeat the process: 65 / 8

Step 2:
8 goes into 65 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 65 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 8

Step 3:
8 goes into 18 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 82
Subtract 16 from 18 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 8

Step 4:
8 goes into 27 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 823
Subtract 24 from 27 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 5:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 8234
Subtract 32 from 39 to get 7.

The final result is 8234 with a remainder of 7.