79066 ÷ 7 = 11295 R1
Alright, let's work through the division of 79066 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 (9) of the dividend behind the 0 and repeat the process: 9 / 7

Step 2:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 9 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 3:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 112
Subtract 14 from 20 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 4:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 1129
Subtract 63 from 66 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 7

Step 5:
7 goes into 36 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 11295
Subtract 35 from 36 to get 1.

The final result is 11295 with a remainder of 1.